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Finding the Fourth Proportional to 520,100.10, 780,150.15 and 460,613.70

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Solution

The fourth proportional to 520,100.10, 780,150.15 and 460,613.70 is: 690,920.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,100.10 : 780,150.15 = 460,613.70 : x
  2. Step 2: Convert to fraction form
    520,100.10/780,150.15 = 460,613.70/x
  3. Step 3: Cross multiply
    520,100.10x = 780,150.15 × 460,613.70
  4. Step 4: Simplify right side
    520,100.10x = 359,347,847,147.06
  5. Step 5: Solve for x
    x = 359,347,847,147.06/520,100.10
  6. Step 6: Final answer
    x = 690,920.55

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