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Finding the Fourth Proportional to 427,924.17, 590,542.61 and 234,328.77

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Solution

The fourth proportional to 427,924.17, 590,542.61 and 234,328.77 is: 323,377.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,924.17 : 590,542.61 = 234,328.77 : x
  2. Step 2: Convert to fraction form
    427,924.17/590,542.61 = 234,328.77/x
  3. Step 3: Cross multiply
    427,924.17x = 590,542.61 × 234,328.77
  4. Step 4: Simplify right side
    427,924.17x = 138,381,122,262.25
  5. Step 5: Solve for x
    x = 138,381,122,262.25/427,924.17
  6. Step 6: Final answer
    x = 323,377.67

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