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Finding the Fourth Proportional to 532,821.52, 735,344.56 and 291,140.84

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Solution

The fourth proportional to 532,821.52, 735,344.56 and 291,140.84 is: 401,802.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,821.52 : 735,344.56 = 291,140.84 : x
  2. Step 2: Convert to fraction form
    532,821.52/735,344.56 = 291,140.84/x
  3. Step 3: Cross multiply
    532,821.52x = 735,344.56 × 291,140.84
  4. Step 4: Simplify right side
    532,821.52x = 214,088,832,887.83
  5. Step 5: Solve for x
    x = 214,088,832,887.83/532,821.52
  6. Step 6: Final answer
    x = 401,802.15

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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.