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Finding the Fourth Proportional to 510,488.24, 704,473.80 and 284,128.88

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Solution

The fourth proportional to 510,488.24, 704,473.80 and 284,128.88 is: 392,097.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,488.24 : 704,473.80 = 284,128.88 : x
  2. Step 2: Convert to fraction form
    510,488.24/704,473.80 = 284,128.88/x
  3. Step 3: Cross multiply
    510,488.24x = 704,473.80 × 284,128.88
  4. Step 4: Simplify right side
    510,488.24x = 200,161,351,783.34
  5. Step 5: Solve for x
    x = 200,161,351,783.34/510,488.24
  6. Step 6: Final answer
    x = 392,097.87

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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.