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Finding the Fourth Proportional to 465,407.40, 698,456.70 and 185,125.80

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Solution

The fourth proportional to 465,407.40, 698,456.70 and 185,125.80 is: 277,826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,407.40 : 698,456.70 = 185,125.80 : x
  2. Step 2: Convert to fraction form
    465,407.40/698,456.70 = 185,125.80/x
  3. Step 3: Cross multiply
    465,407.40x = 698,456.70 × 185,125.80
  4. Step 4: Simplify right side
    465,407.40x = 129,302,355,352.86
  5. Step 5: Solve for x
    x = 129,302,355,352.86/465,407.40
  6. Step 6: Final answer
    x = 277,826.17

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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.