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Finding the Fourth Proportional to 314,472.34, 471,712.61 and 89,840.10

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Solution

The fourth proportional to 314,472.34, 471,712.61 and 89,840.10 is: 134,761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,472.34 : 471,712.61 = 89,840.10 : x
  2. Step 2: Convert to fraction form
    314,472.34/471,712.61 = 89,840.10/x
  3. Step 3: Cross multiply
    314,472.34x = 471,712.61 × 89,840.10
  4. Step 4: Simplify right side
    314,472.34x = 42,378,710,047.18
  5. Step 5: Solve for x
    x = 42,378,710,047.18/314,472.34
  6. Step 6: Final answer
    x = 134,761.33

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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.