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Finding the Fourth Proportional to 458,897.10, 687,673.35 and 411,512.10

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Solution

The fourth proportional to 458,897.10, 687,673.35 and 411,512.10 is: 616,665.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,897.10 : 687,673.35 = 411,512.10 : x
  2. Step 2: Convert to fraction form
    458,897.10/687,673.35 = 411,512.10/x
  3. Step 3: Cross multiply
    458,897.10x = 687,673.35 × 411,512.10
  4. Step 4: Simplify right side
    458,897.10x = 282,985,904,372.54
  5. Step 5: Solve for x
    x = 282,985,904,372.54/458,897.10
  6. Step 6: Final answer
    x = 616,665.27

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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.