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Finding the Fourth Proportional to 314,974.40, 472,509.20 and 101,671.04

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Solution

The fourth proportional to 314,974.40, 472,509.20 and 101,671.04 is: 152,521.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,974.40 : 472,509.20 = 101,671.04 : x
  2. Step 2: Convert to fraction form
    314,974.40/472,509.20 = 101,671.04/x
  3. Step 3: Cross multiply
    314,974.40x = 472,509.20 × 101,671.04
  4. Step 4: Simplify right side
    314,974.40x = 48,040,501,773.57
  5. Step 5: Solve for x
    x = 48,040,501,773.57/314,974.40
  6. Step 6: Final answer
    x = 152,521.92

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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.