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Finding the Fourth Proportional to 510,701.40, 766,052.10 and 461,712.60

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Solution

The fourth proportional to 510,701.40, 766,052.10 and 461,712.60 is: 692,568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,701.40 : 766,052.10 = 461,712.60 : x
  2. Step 2: Convert to fraction form
    510,701.40/766,052.10 = 461,712.60/x
  3. Step 3: Cross multiply
    510,701.40x = 766,052.10 × 461,712.60
  4. Step 4: Simplify right side
    510,701.40x = 353,695,906,826.46
  5. Step 5: Solve for x
    x = 353,695,906,826.46/510,701.40
  6. Step 6: Final answer
    x = 692,568.90

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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.