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Finding the Fourth Proportional to 876,172.96, 1,209,117.84 and 473,764

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Solution

The fourth proportional to 876,172.96, 1,209,117.84 and 473,764 is: 653,793.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,172.96 : 1,209,117.84 = 473,764 : x
  2. Step 2: Convert to fraction form
    876,172.96/1,209,117.84 = 473,764/x
  3. Step 3: Cross multiply
    876,172.96x = 1,209,117.84 × 473,764
  4. Step 4: Simplify right side
    876,172.96x = 572,836,504,349.76
  5. Step 5: Solve for x
    x = 572,836,504,349.76/876,172.96
  6. Step 6: Final answer
    x = 653,793.86

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Why These Related Problems?

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