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Finding the Fourth Proportional to 475,050.66, 712,641.60 and 159,597.78

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Solution

The fourth proportional to 475,050.66, 712,641.60 and 159,597.78 is: 239,418.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,050.66 : 712,641.60 = 159,597.78 : x
  2. Step 2: Convert to fraction form
    475,050.66/712,641.60 = 159,597.78/x
  3. Step 3: Cross multiply
    475,050.66x = 712,641.60 × 159,597.78
  4. Step 4: Simplify right side
    475,050.66x = 113,736,017,295.65
  5. Step 5: Solve for x
    x = 113,736,017,295.65/475,050.66
  6. Step 6: Final answer
    x = 239,418.71

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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.