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Finding the Fourth Proportional to 284,038.16, 391,977.20 and 156,713.68

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Solution

The fourth proportional to 284,038.16, 391,977.20 and 156,713.68 is: 216,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,038.16 : 391,977.20 = 156,713.68 : x
  2. Step 2: Convert to fraction form
    284,038.16/391,977.20 = 156,713.68/x
  3. Step 3: Cross multiply
    284,038.16x = 391,977.20 × 156,713.68
  4. Step 4: Simplify right side
    284,038.16x = 61,428,189,488.10
  5. Step 5: Solve for x
    x = 61,428,189,488.10/284,038.16
  6. Step 6: Final answer
    x = 216,267.38

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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.