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Finding the Fourth Proportional to 315,908.72, 473,454.84 and 236,399.12

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Solution

The fourth proportional to 315,908.72, 473,454.84 and 236,399.12 is: 354,293.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,908.72 : 473,454.84 = 236,399.12 : x
  2. Step 2: Convert to fraction form
    315,908.72/473,454.84 = 236,399.12/x
  3. Step 3: Cross multiply
    315,908.72x = 473,454.84 × 236,399.12
  4. Step 4: Simplify right side
    315,908.72x = 111,924,307,535.74
  5. Step 5: Solve for x
    x = 111,924,307,535.74/315,908.72
  6. Step 6: Final answer
    x = 354,293.19

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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.