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Finding the Fourth Proportional to 557,731.40, 838,346.70 and 547,233.80

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Solution

The fourth proportional to 557,731.40, 838,346.70 and 547,233.80 is: 822,567.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,731.40 : 838,346.70 = 547,233.80 : x
  2. Step 2: Convert to fraction form
    557,731.40/838,346.70 = 547,233.80/x
  3. Step 3: Cross multiply
    557,731.40x = 838,346.70 × 547,233.80
  4. Step 4: Simplify right side
    557,731.40x = 458,771,650,358.46
  5. Step 5: Solve for x
    x = 458,771,650,358.46/557,731.40
  6. Step 6: Final answer
    x = 822,567.37

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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.