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Finding the Fourth Proportional to 584,098.12, 806,420.30 and 447,870.36

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Solution

The fourth proportional to 584,098.12, 806,420.30 and 447,870.36 is: 618,340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,098.12 : 806,420.30 = 447,870.36 : x
  2. Step 2: Convert to fraction form
    584,098.12/806,420.30 = 447,870.36/x
  3. Step 3: Cross multiply
    584,098.12x = 806,420.30 × 447,870.36
  4. Step 4: Simplify right side
    584,098.12x = 361,171,750,072.31
  5. Step 5: Solve for x
    x = 361,171,750,072.31/584,098.12
  6. Step 6: Final answer
    x = 618,340.89

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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.