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Finding the Fourth Proportional to 518,084.20, 709,777.84 and 498,668.78

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Solution

The fourth proportional to 518,084.20, 709,777.84 and 498,668.78 is: 683,178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,084.20 : 709,777.84 = 498,668.78 : x
  2. Step 2: Convert to fraction form
    518,084.20/709,777.84 = 498,668.78/x
  3. Step 3: Cross multiply
    518,084.20x = 709,777.84 × 498,668.78
  4. Step 4: Simplify right side
    518,084.20x = 353,944,049,010.36
  5. Step 5: Solve for x
    x = 353,944,049,010.36/518,084.20
  6. Step 6: Final answer
    x = 683,178.62

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.