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Finding the Fourth Proportional to 597,314.31, 895,497.82 and 312,950.31

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Solution

The fourth proportional to 597,314.31, 895,497.82 and 312,950.31 is: 469,177.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,314.31 : 895,497.82 = 312,950.31 : x
  2. Step 2: Convert to fraction form
    597,314.31/895,497.82 = 312,950.31/x
  3. Step 3: Cross multiply
    597,314.31x = 895,497.82 × 312,950.31
  4. Step 4: Simplify right side
    597,314.31x = 280,246,319,590.95
  5. Step 5: Solve for x
    x = 280,246,319,590.95/597,314.31
  6. Step 6: Final answer
    x = 469,177.31

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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.