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Finding the Fourth Proportional to 471,891.49, 707,246.13 and 371,655.82

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Solution

The fourth proportional to 471,891.49, 707,246.13 and 371,655.82 is: 557,018.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,891.49 : 707,246.13 = 371,655.82 : x
  2. Step 2: Convert to fraction form
    471,891.49/707,246.13 = 371,655.82/x
  3. Step 3: Cross multiply
    471,891.49x = 707,246.13 × 371,655.82
  4. Step 4: Simplify right side
    471,891.49x = 262,852,140,386.98
  5. Step 5: Solve for x
    x = 262,852,140,386.98/471,891.49
  6. Step 6: Final answer
    x = 557,018.18

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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.