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Finding the Fourth Proportional to 315,057.30, 472,585.95 and 310,910.10

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Solution

The fourth proportional to 315,057.30, 472,585.95 and 310,910.10 is: 466,365.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,057.30 : 472,585.95 = 310,910.10 : x
  2. Step 2: Convert to fraction form
    315,057.30/472,585.95 = 310,910.10/x
  3. Step 3: Cross multiply
    315,057.30x = 472,585.95 × 310,910.10
  4. Step 4: Simplify right side
    315,057.30x = 146,931,744,973.10
  5. Step 5: Solve for x
    x = 146,931,744,973.10/315,057.30
  6. Step 6: Final answer
    x = 466,365.15

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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.