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Finding the Fourth Proportional to 293,657.76, 405,276.24 and 164,618.16

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Solution

The fourth proportional to 293,657.76, 405,276.24 and 164,618.16 is: 227,189.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,657.76 : 405,276.24 = 164,618.16 : x
  2. Step 2: Convert to fraction form
    293,657.76/405,276.24 = 164,618.16/x
  3. Step 3: Cross multiply
    293,657.76x = 405,276.24 × 164,618.16
  4. Step 4: Simplify right side
    293,657.76x = 66,715,828,920.52
  5. Step 5: Solve for x
    x = 66,715,828,920.52/293,657.76
  6. Step 6: Final answer
    x = 227,189.05

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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.