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Finding the Fourth Proportional to 534,687.55, 802,132.48 and 214,864.32

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Solution

The fourth proportional to 534,687.55, 802,132.48 and 214,864.32 is: 322,337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,687.55 : 802,132.48 = 214,864.32 : x
  2. Step 2: Convert to fraction form
    534,687.55/802,132.48 = 214,864.32/x
  3. Step 3: Cross multiply
    534,687.55x = 802,132.48 × 214,864.32
  4. Step 4: Simplify right side
    534,687.55x = 172,349,646,319.96
  5. Step 5: Solve for x
    x = 172,349,646,319.96/534,687.55
  6. Step 6: Final answer
    x = 322,337.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.