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Finding the Fourth Proportional to 523,142.26, 782,673.87 and 458,587.95

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Solution

The fourth proportional to 523,142.26, 782,673.87 and 458,587.95 is: 686,094.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,142.26 : 782,673.87 = 458,587.95 : x
  2. Step 2: Convert to fraction form
    523,142.26/782,673.87 = 458,587.95/x
  3. Step 3: Cross multiply
    523,142.26x = 782,673.87 × 458,587.95
  4. Step 4: Simplify right side
    523,142.26x = 358,924,805,561.87
  5. Step 5: Solve for x
    x = 358,924,805,561.87/523,142.26
  6. Step 6: Final answer
    x = 686,094.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.