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Finding the Fourth Proportional to 584,098.29, 806,420.52 and 447,870.51

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Solution

The fourth proportional to 584,098.29, 806,420.52 and 447,870.51 is: 618,341.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,098.29 : 806,420.52 = 447,870.51 : x
  2. Step 2: Convert to fraction form
    584,098.29/806,420.52 = 447,870.51/x
  3. Step 3: Cross multiply
    584,098.29x = 806,420.52 × 447,870.51
  4. Step 4: Simplify right side
    584,098.29x = 361,171,969,566.87
  5. Step 5: Solve for x
    x = 361,171,969,566.87/584,098.29
  6. Step 6: Final answer
    x = 618,341.08

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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.