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Finding the Fourth Proportional to 475,344.72, 712,536.98 and 297,976.04

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Solution

The fourth proportional to 475,344.72, 712,536.98 and 297,976.04 is: 446,663.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,344.72 : 712,536.98 = 297,976.04 : x
  2. Step 2: Convert to fraction form
    475,344.72/712,536.98 = 297,976.04/x
  3. Step 3: Cross multiply
    475,344.72x = 712,536.98 × 297,976.04
  4. Step 4: Simplify right side
    475,344.72x = 212,318,947,653.96
  5. Step 5: Solve for x
    x = 212,318,947,653.96/475,344.72
  6. Step 6: Final answer
    x = 446,663.10

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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.