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Finding the Fourth Proportional to 523,049.82, 719,543.67 and 458,227.14

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Solution

The fourth proportional to 523,049.82, 719,543.67 and 458,227.14 is: 630,369.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,049.82 : 719,543.67 = 458,227.14 : x
  2. Step 2: Convert to fraction form
    523,049.82/719,543.67 = 458,227.14/x
  3. Step 3: Cross multiply
    523,049.82x = 719,543.67 × 458,227.14
  4. Step 4: Simplify right side
    523,049.82x = 329,714,438,009.20
  5. Step 5: Solve for x
    x = 329,714,438,009.20/523,049.82
  6. Step 6: Final answer
    x = 630,369.09

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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.