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Finding the Fourth Proportional to 474,822.66, 712,402.47 and 159,279.06

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Solution

The fourth proportional to 474,822.66, 712,402.47 and 159,279.06 is: 238,975.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,822.66 : 712,402.47 = 159,279.06 : x
  2. Step 2: Convert to fraction form
    474,822.66/712,402.47 = 159,279.06/x
  3. Step 3: Cross multiply
    474,822.66x = 712,402.47 × 159,279.06
  4. Step 4: Simplify right side
    474,822.66x = 113,470,795,763.28
  5. Step 5: Solve for x
    x = 113,470,795,763.28/474,822.66
  6. Step 6: Final answer
    x = 238,975.11

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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.