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Finding the Fourth Proportional to 510,607.60, 704,619.48 and 284,248.24

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Solution

The fourth proportional to 510,607.60, 704,619.48 and 284,248.24 is: 392,251.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,607.60 : 704,619.48 = 284,248.24 : x
  2. Step 2: Convert to fraction form
    510,607.60/704,619.48 = 284,248.24/x
  3. Step 3: Cross multiply
    510,607.60x = 704,619.48 × 284,248.24
  4. Step 4: Simplify right side
    510,607.60x = 200,286,847,059.72
  5. Step 5: Solve for x
    x = 200,286,847,059.72/510,607.60
  6. Step 6: Final answer
    x = 392,251.99

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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.