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Finding the Fourth Proportional to 723,677.22, 998,599.14 and 417,650.31

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Solution

The fourth proportional to 723,677.22, 998,599.14 and 417,650.31 is: 576,313.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,677.22 : 998,599.14 = 417,650.31 : x
  2. Step 2: Convert to fraction form
    723,677.22/998,599.14 = 417,650.31/x
  3. Step 3: Cross multiply
    723,677.22x = 998,599.14 × 417,650.31
  4. Step 4: Simplify right side
    723,677.22x = 417,065,240,386.73
  5. Step 5: Solve for x
    x = 417,065,240,386.73/723,677.22
  6. Step 6: Final answer
    x = 576,313.90

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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.