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Finding the Fourth Proportional to 498,341.80, 747,512.70 and 410,861.80

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Solution

The fourth proportional to 498,341.80, 747,512.70 and 410,861.80 is: 616,292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,341.80 : 747,512.70 = 410,861.80 : x
  2. Step 2: Convert to fraction form
    498,341.80/747,512.70 = 410,861.80/x
  3. Step 3: Cross multiply
    498,341.80x = 747,512.70 × 410,861.80
  4. Step 4: Simplify right side
    498,341.80x = 307,124,413,444.86
  5. Step 5: Solve for x
    x = 307,124,413,444.86/498,341.80
  6. Step 6: Final answer
    x = 616,292.70

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Similar ratio
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1.5x scale

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.