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Finding the Fourth Proportional to 506,760.62, 699,282.02 and 343,084.16

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Solution

The fourth proportional to 506,760.62, 699,282.02 and 343,084.16 is: 473,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,760.62 : 699,282.02 = 343,084.16 : x
  2. Step 2: Convert to fraction form
    506,760.62/699,282.02 = 343,084.16/x
  3. Step 3: Cross multiply
    506,760.62x = 699,282.02 × 343,084.16
  4. Step 4: Simplify right side
    506,760.62x = 239,912,584,434.80
  5. Step 5: Solve for x
    x = 239,912,584,434.80/506,760.62
  6. Step 6: Final answer
    x = 473,423.89

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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.