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Finding the Fourth Proportional to 416,842.88, 575,167.44 and 233,084.76

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Solution

The fourth proportional to 416,842.88, 575,167.44 and 233,084.76 is: 321,614.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,842.88 : 575,167.44 = 233,084.76 : x
  2. Step 2: Convert to fraction form
    416,842.88/575,167.44 = 233,084.76/x
  3. Step 3: Cross multiply
    416,842.88x = 575,167.44 × 233,084.76
  4. Step 4: Simplify right side
    416,842.88x = 134,062,764,712.21
  5. Step 5: Solve for x
    x = 134,062,764,712.21/416,842.88
  6. Step 6: Final answer
    x = 321,614.62

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.