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Finding the Fourth Proportional to 315,031.30, 472,546.95 and 315,031.30

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Solution

The fourth proportional to 315,031.30, 472,546.95 and 315,031.30 is: 472,546.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,031.30 : 472,546.95 = 315,031.30 : x
  2. Step 2: Convert to fraction form
    315,031.30/472,546.95 = 315,031.30/x
  3. Step 3: Cross multiply
    315,031.30x = 472,546.95 × 315,031.30
  4. Step 4: Simplify right side
    315,031.30x = 148,867,079,969.54
  5. Step 5: Solve for x
    x = 148,867,079,969.54/315,031.30
  6. Step 6: Final answer
    x = 472,546.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.