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Finding the Fourth Proportional to 510,961.59, 704,592.54 and 381,697.47

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Solution

The fourth proportional to 510,961.59, 704,592.54 and 381,697.47 is: 526,343.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,961.59 : 704,592.54 = 381,697.47 : x
  2. Step 2: Convert to fraction form
    510,961.59/704,592.54 = 381,697.47/x
  3. Step 3: Cross multiply
    510,961.59x = 704,592.54 × 381,697.47
  4. Step 4: Simplify right side
    510,961.59x = 268,941,189,898.87
  5. Step 5: Solve for x
    x = 268,941,189,898.87/510,961.59
  6. Step 6: Final answer
    x = 526,343.26

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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.