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Finding the Fourth Proportional to 475,046.78, 712,604.73 and 159,501.02

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Solution

The fourth proportional to 475,046.78, 712,604.73 and 159,501.02 is: 239,263.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,046.78 : 712,604.73 = 159,501.02 : x
  2. Step 2: Convert to fraction form
    475,046.78/712,604.73 = 159,501.02/x
  3. Step 3: Cross multiply
    475,046.78x = 712,604.73 × 159,501.02
  4. Step 4: Simplify right side
    475,046.78x = 113,661,181,291.83
  5. Step 5: Solve for x
    x = 113,661,181,291.83/475,046.78
  6. Step 6: Final answer
    x = 239,263.13

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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.