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Finding the Fourth Proportional to 506,114.57, 698,416.89 and 299,516.88

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Solution

The fourth proportional to 506,114.57, 698,416.89 and 299,516.88 is: 413,320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,114.57 : 698,416.89 = 299,516.88 : x
  2. Step 2: Convert to fraction form
    506,114.57/698,416.89 = 299,516.88/x
  3. Step 3: Cross multiply
    506,114.57x = 698,416.89 × 299,516.88
  4. Step 4: Simplify right side
    506,114.57x = 209,187,647,832.10
  5. Step 5: Solve for x
    x = 209,187,647,832.10/506,114.57
  6. Step 6: Final answer
    x = 413,320.74

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1.5x scale

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.