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Finding the Fourth Proportional to 586,096.58, 878,499.02 and 383,449.16

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Solution

The fourth proportional to 586,096.58, 878,499.02 and 383,449.16 is: 574,751.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,096.58 : 878,499.02 = 383,449.16 : x
  2. Step 2: Convert to fraction form
    586,096.58/878,499.02 = 383,449.16/x
  3. Step 3: Cross multiply
    586,096.58x = 878,499.02 × 383,449.16
  4. Step 4: Simplify right side
    586,096.58x = 336,859,711,279.82
  5. Step 5: Solve for x
    x = 336,859,711,279.82/586,096.58
  6. Step 6: Final answer
    x = 574,751.20

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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.