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Finding the Fourth Proportional to 475,498.83, 656,255.61 and 294,269.16

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Solution

The fourth proportional to 475,498.83, 656,255.61 and 294,269.16 is: 406,133.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,498.83 : 656,255.61 = 294,269.16 : x
  2. Step 2: Convert to fraction form
    475,498.83/656,255.61 = 294,269.16/x
  3. Step 3: Cross multiply
    475,498.83x = 656,255.61 × 294,269.16
  4. Step 4: Simplify right side
    475,498.83x = 193,115,787,099.99
  5. Step 5: Solve for x
    x = 193,115,787,099.99/475,498.83
  6. Step 6: Final answer
    x = 406,133.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.