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Finding the Fourth Proportional to 506,901.92, 699,446.64 and 292,000

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Solution

The fourth proportional to 506,901.92, 699,446.64 and 292,000 is: 402,915.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,901.92 : 699,446.64 = 292,000 : x
  2. Step 2: Convert to fraction form
    506,901.92/699,446.64 = 292,000/x
  3. Step 3: Cross multiply
    506,901.92x = 699,446.64 × 292,000
  4. Step 4: Simplify right side
    506,901.92x = 204,238,418,880
  5. Step 5: Solve for x
    x = 204,238,418,880/506,901.92
  6. Step 6: Final answer
    x = 402,915.06

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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.