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Finding the Fourth Proportional to 315,641.80, 473,462.70 and 157,813.30

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Solution

The fourth proportional to 315,641.80, 473,462.70 and 157,813.30 is: 236,719.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,641.80 : 473,462.70 = 157,813.30 : x
  2. Step 2: Convert to fraction form
    315,641.80/473,462.70 = 157,813.30/x
  3. Step 3: Cross multiply
    315,641.80x = 473,462.70 × 157,813.30
  4. Step 4: Simplify right side
    315,641.80x = 74,718,711,113.91
  5. Step 5: Solve for x
    x = 74,718,711,113.91/315,641.80
  6. Step 6: Final answer
    x = 236,719.95

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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.