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Finding the Fourth Proportional to 510,138.69, 704,052.05 and 292,425.27

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Solution

The fourth proportional to 510,138.69, 704,052.05 and 292,425.27 is: 403,581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,138.69 : 704,052.05 = 292,425.27 : x
  2. Step 2: Convert to fraction form
    510,138.69/704,052.05 = 292,425.27/x
  3. Step 3: Cross multiply
    510,138.69x = 704,052.05 × 292,425.27
  4. Step 4: Simplify right side
    510,138.69x = 205,882,609,353.18
  5. Step 5: Solve for x
    x = 205,882,609,353.18/510,138.69
  6. Step 6: Final answer
    x = 403,581.64

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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.