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Finding the Fourth Proportional to 486,003.40, 729,005.10 and 456,478.90

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Solution

The fourth proportional to 486,003.40, 729,005.10 and 456,478.90 is: 684,718.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,003.40 : 729,005.10 = 456,478.90 : x
  2. Step 2: Convert to fraction form
    486,003.40/729,005.10 = 456,478.90/x
  3. Step 3: Cross multiply
    486,003.40x = 729,005.10 × 456,478.90
  4. Step 4: Simplify right side
    486,003.40x = 332,775,446,142.39
  5. Step 5: Solve for x
    x = 332,775,446,142.39/486,003.40
  6. Step 6: Final answer
    x = 684,718.35

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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.