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Finding the Fourth Proportional to 502,166.40, 752,549.76 and 377,361.60

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Solution

The fourth proportional to 502,166.40, 752,549.76 and 377,361.60 is: 565,516.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,166.40 : 752,549.76 = 377,361.60 : x
  2. Step 2: Convert to fraction form
    502,166.40/752,549.76 = 377,361.60/x
  3. Step 3: Cross multiply
    502,166.40x = 752,549.76 × 377,361.60
  4. Step 4: Simplify right side
    502,166.40x = 283,983,381,513.22
  5. Step 5: Solve for x
    x = 283,983,381,513.22/502,166.40
  6. Step 6: Final answer
    x = 565,516.49

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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.