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Finding the Fourth Proportional to 586,098.58, 878,502.02 and 383,451.16

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Solution

The fourth proportional to 586,098.58, 878,502.02 and 383,451.16 is: 574,754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,098.58 : 878,502.02 = 383,451.16 : x
  2. Step 2: Convert to fraction form
    586,098.58/878,502.02 = 383,451.16/x
  3. Step 3: Cross multiply
    586,098.58x = 878,502.02 × 383,451.16
  4. Step 4: Simplify right side
    586,098.58x = 336,862,618,631.34
  5. Step 5: Solve for x
    x = 336,862,618,631.34/586,098.58
  6. Step 6: Final answer
    x = 574,754.20

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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.