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Finding the Fourth Proportional to 523,816.12, 722,871.30 and 297,463.24

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Solution

The fourth proportional to 523,816.12, 722,871.30 and 297,463.24 is: 410,502.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,816.12 : 722,871.30 = 297,463.24 : x
  2. Step 2: Convert to fraction form
    523,816.12/722,871.30 = 297,463.24/x
  3. Step 3: Cross multiply
    523,816.12x = 722,871.30 × 297,463.24
  4. Step 4: Simplify right side
    523,816.12x = 215,027,639,001.01
  5. Step 5: Solve for x
    x = 215,027,639,001.01/523,816.12
  6. Step 6: Final answer
    x = 410,502.14

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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.