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Finding the Fourth Proportional to 532,164.64, 734,398.80 and 290,448.16

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Solution

The fourth proportional to 532,164.64, 734,398.80 and 290,448.16 is: 400,824.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,164.64 : 734,398.80 = 290,448.16 : x
  2. Step 2: Convert to fraction form
    532,164.64/734,398.80 = 290,448.16/x
  3. Step 3: Cross multiply
    532,164.64x = 734,398.80 × 290,448.16
  4. Step 4: Simplify right side
    532,164.64x = 213,304,780,166.21
  5. Step 5: Solve for x
    x = 213,304,780,166.21/532,164.64
  6. Step 6: Final answer
    x = 400,824.79

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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.