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Finding the Fourth Proportional to 475,345.26, 712,538.12 and 297,976.83

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Solution

The fourth proportional to 475,345.26, 712,538.12 and 297,976.83 is: 446,664.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,345.26 : 712,538.12 = 297,976.83 : x
  2. Step 2: Convert to fraction form
    475,345.26/712,538.12 = 297,976.83/x
  3. Step 3: Cross multiply
    475,345.26x = 712,538.12 × 297,976.83
  4. Step 4: Simplify right side
    475,345.26x = 212,319,846,648.56
  5. Step 5: Solve for x
    x = 212,319,846,648.56/475,345.26
  6. Step 6: Final answer
    x = 446,664.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.