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Finding the Fourth Proportional to 465,374.40, 698,127.60 and 149,757.84

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Solution

The fourth proportional to 465,374.40, 698,127.60 and 149,757.84 is: 224,658.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,374.40 : 698,127.60 = 149,757.84 : x
  2. Step 2: Convert to fraction form
    465,374.40/698,127.60 = 149,757.84/x
  3. Step 3: Cross multiply
    465,374.40x = 698,127.60 × 149,757.84
  4. Step 4: Simplify right side
    465,374.40x = 104,550,081,420.38
  5. Step 5: Solve for x
    x = 104,550,081,420.38/465,374.40
  6. Step 6: Final answer
    x = 224,658.00

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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.