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Finding the Fourth Proportional to 460,296.60, 690,483.87 and 140,520.12

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Solution

The fourth proportional to 460,296.60, 690,483.87 and 140,520.12 is: 210,792.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,296.60 : 690,483.87 = 140,520.12 : x
  2. Step 2: Convert to fraction form
    460,296.60/690,483.87 = 140,520.12/x
  3. Step 3: Cross multiply
    460,296.60x = 690,483.87 × 140,520.12
  4. Step 4: Simplify right side
    460,296.60x = 97,026,876,270.46
  5. Step 5: Solve for x
    x = 97,026,876,270.46/460,296.60
  6. Step 6: Final answer
    x = 210,792.08

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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.