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Finding the Fourth Proportional to 532,304.06, 735,380.91 and 348,978.20

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Solution

The fourth proportional to 532,304.06, 735,380.91 and 348,978.20 is: 482,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,304.06 : 735,380.91 = 348,978.20 : x
  2. Step 2: Convert to fraction form
    532,304.06/735,380.91 = 348,978.20/x
  3. Step 3: Cross multiply
    532,304.06x = 735,380.91 × 348,978.20
  4. Step 4: Simplify right side
    532,304.06x = 256,631,902,609.26
  5. Step 5: Solve for x
    x = 256,631,902,609.26/532,304.06
  6. Step 6: Final answer
    x = 482,115.25

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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.