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Finding the Fourth Proportional to 876,105, 1,209,024.90 and 473,697

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Solution

The fourth proportional to 876,105, 1,209,024.90 and 473,697 is: 653,701.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,105 : 1,209,024.90 = 473,697 : x
  2. Step 2: Convert to fraction form
    876,105/1,209,024.90 = 473,697/x
  3. Step 3: Cross multiply
    876,105x = 1,209,024.90 × 473,697
  4. Step 4: Simplify right side
    876,105x = 572,711,468,055.30
  5. Step 5: Solve for x
    x = 572,711,468,055.30/876,105
  6. Step 6: Final answer
    x = 653,701.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.