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Finding the Fourth Proportional to 315,659.76, 473,493.96 and 176,305.20

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Solution

The fourth proportional to 315,659.76, 473,493.96 and 176,305.20 is: 264,460.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,659.76 : 473,493.96 = 176,305.20 : x
  2. Step 2: Convert to fraction form
    315,659.76/473,493.96 = 176,305.20/x
  3. Step 3: Cross multiply
    315,659.76x = 473,493.96 × 176,305.20
  4. Step 4: Simplify right side
    315,659.76x = 83,479,447,316.59
  5. Step 5: Solve for x
    x = 83,479,447,316.59/315,659.76
  6. Step 6: Final answer
    x = 264,460.21

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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.