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Finding the Fourth Proportional to 532,887.75, 735,713.16 and 342,237.24

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Solution

The fourth proportional to 532,887.75, 735,713.16 and 342,237.24 is: 472,498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,887.75 : 735,713.16 = 342,237.24 : x
  2. Step 2: Convert to fraction form
    532,887.75/735,713.16 = 342,237.24/x
  3. Step 3: Cross multiply
    532,887.75x = 735,713.16 × 342,237.24
  4. Step 4: Simplify right side
    532,887.75x = 251,788,441,310.08
  5. Step 5: Solve for x
    x = 251,788,441,310.08/532,887.75
  6. Step 6: Final answer
    x = 472,498.08

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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.