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Finding the Fourth Proportional to 475,348.26, 712,542.60 and 297,979.83

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Solution

The fourth proportional to 475,348.26, 712,542.60 and 297,979.83 is: 446,668.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,348.26 : 712,542.60 = 297,979.83 : x
  2. Step 2: Convert to fraction form
    475,348.26/712,542.60 = 297,979.83/x
  3. Step 3: Cross multiply
    475,348.26x = 712,542.60 × 297,979.83
  4. Step 4: Simplify right side
    475,348.26x = 212,323,322,815.76
  5. Step 5: Solve for x
    x = 212,323,322,815.76/475,348.26
  6. Step 6: Final answer
    x = 446,668.98

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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.