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Finding the Fourth Proportional to 532,851.64, 735,326.57 and 291,129.01

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Solution

The fourth proportional to 532,851.64, 735,326.57 and 291,129.01 is: 401,753.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,851.64 : 735,326.57 = 291,129.01 : x
  2. Step 2: Convert to fraction form
    532,851.64/735,326.57 = 291,129.01/x
  3. Step 3: Cross multiply
    532,851.64x = 735,326.57 × 291,129.01
  4. Step 4: Simplify right side
    532,851.64x = 214,074,896,350.80
  5. Step 5: Solve for x
    x = 214,074,896,350.80/532,851.64
  6. Step 6: Final answer
    x = 401,753.28

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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.