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Finding the Fourth Proportional to 284,173.92, 392,156.64 and 156,846.78

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Solution

The fourth proportional to 284,173.92, 392,156.64 and 156,846.78 is: 216,446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,173.92 : 392,156.64 = 156,846.78 : x
  2. Step 2: Convert to fraction form
    284,173.92/392,156.64 = 156,846.78/x
  3. Step 3: Cross multiply
    284,173.92x = 392,156.64 × 156,846.78
  4. Step 4: Simplify right side
    284,173.92x = 61,508,506,239.62
  5. Step 5: Solve for x
    x = 61,508,506,239.62/284,173.92
  6. Step 6: Final answer
    x = 216,446.70

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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.