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Finding the Fourth Proportional to 463,770.16, 694,254.72 and 419,417.80

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Solution

The fourth proportional to 463,770.16, 694,254.72 and 419,417.80 is: 627,860.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,770.16 : 694,254.72 = 419,417.80 : x
  2. Step 2: Convert to fraction form
    463,770.16/694,254.72 = 419,417.80/x
  3. Step 3: Cross multiply
    463,770.16x = 694,254.72 × 419,417.80
  4. Step 4: Simplify right side
    463,770.16x = 291,182,787,302.02
  5. Step 5: Solve for x
    x = 291,182,787,302.02/463,770.16
  6. Step 6: Final answer
    x = 627,860.12

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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.