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Finding the Fourth Proportional to 532,695.38, 735,115.25 and 290,978.01

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Solution

The fourth proportional to 532,695.38, 735,115.25 and 290,978.01 is: 401,547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,695.38 : 735,115.25 = 290,978.01 : x
  2. Step 2: Convert to fraction form
    532,695.38/735,115.25 = 290,978.01/x
  3. Step 3: Cross multiply
    532,695.38x = 735,115.25 × 290,978.01
  4. Step 4: Simplify right side
    532,695.38x = 213,902,373,293.10
  5. Step 5: Solve for x
    x = 213,902,373,293.10/532,695.38
  6. Step 6: Final answer
    x = 401,547.27

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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.