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Finding the Fourth Proportional to 458,868.60, 687,630.60 and 411,483.60

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Solution

The fourth proportional to 458,868.60, 687,630.60 and 411,483.60 is: 616,622.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,868.60 : 687,630.60 = 411,483.60 : x
  2. Step 2: Convert to fraction form
    458,868.60/687,630.60 = 411,483.60/x
  3. Step 3: Cross multiply
    458,868.60x = 687,630.60 × 411,483.60
  4. Step 4: Simplify right side
    458,868.60x = 282,948,714,758.16
  5. Step 5: Solve for x
    x = 282,948,714,758.16/458,868.60
  6. Step 6: Final answer
    x = 616,622.52

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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.