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Finding the Fourth Proportional to 416,666.81, 574,991.94 and 232,904.48

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Solution

The fourth proportional to 416,666.81, 574,991.94 and 232,904.48 is: 321,403.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,666.81 : 574,991.94 = 232,904.48 : x
  2. Step 2: Convert to fraction form
    416,666.81/574,991.94 = 232,904.48/x
  3. Step 3: Cross multiply
    416,666.81x = 574,991.94 × 232,904.48
  4. Step 4: Simplify right side
    416,666.81x = 133,918,199,498.09
  5. Step 5: Solve for x
    x = 133,918,199,498.09/416,666.81
  6. Step 6: Final answer
    x = 321,403.57

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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.