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Finding the Fourth Proportional to 238,605.32, 357,129.16 and 175,408.71

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Solution

The fourth proportional to 238,605.32, 357,129.16 and 175,408.71 is: 262,540.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,605.32 : 357,129.16 = 175,408.71 : x
  2. Step 2: Convert to fraction form
    238,605.32/357,129.16 = 175,408.71/x
  3. Step 3: Cross multiply
    238,605.32x = 357,129.16 × 175,408.71
  4. Step 4: Simplify right side
    238,605.32x = 62,643,564,820.46
  5. Step 5: Solve for x
    x = 62,643,564,820.46/238,605.32
  6. Step 6: Final answer
    x = 262,540.53

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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.