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Finding the Fourth Proportional to 523,035.78, 719,524.38 and 458,213.10

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Solution

The fourth proportional to 523,035.78, 719,524.38 and 458,213.10 is: 630,349.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,035.78 : 719,524.38 = 458,213.10 : x
  2. Step 2: Convert to fraction form
    523,035.78/719,524.38 = 458,213.10/x
  3. Step 3: Cross multiply
    523,035.78x = 719,524.38 × 458,213.10
  4. Step 4: Simplify right side
    523,035.78x = 329,695,496,685.38
  5. Step 5: Solve for x
    x = 329,695,496,685.38/523,035.78
  6. Step 6: Final answer
    x = 630,349.79

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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.