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Finding the Fourth Proportional to 463,010.80, 694,516.20 and 458,095.60

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Solution

The fourth proportional to 463,010.80, 694,516.20 and 458,095.60 is: 687,143.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,010.80 : 694,516.20 = 458,095.60 : x
  2. Step 2: Convert to fraction form
    463,010.80/694,516.20 = 458,095.60/x
  3. Step 3: Cross multiply
    463,010.80x = 694,516.20 × 458,095.60
  4. Step 4: Simplify right side
    463,010.80x = 318,154,815,348.72
  5. Step 5: Solve for x
    x = 318,154,815,348.72/463,010.80
  6. Step 6: Final answer
    x = 687,143.40

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1.5x scale

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.