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Finding the Fourth Proportional to 315,080.30, 472,620.45 and 310,933.10

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Solution

The fourth proportional to 315,080.30, 472,620.45 and 310,933.10 is: 466,399.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,080.30 : 472,620.45 = 310,933.10 : x
  2. Step 2: Convert to fraction form
    315,080.30/472,620.45 = 310,933.10/x
  3. Step 3: Cross multiply
    315,080.30x = 472,620.45 × 310,933.10
  4. Step 4: Simplify right side
    315,080.30x = 146,953,341,641.90
  5. Step 5: Solve for x
    x = 146,953,341,641.90/315,080.30
  6. Step 6: Final answer
    x = 466,399.65

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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.