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Finding the Fourth Proportional to 315,233.27, 473,171.56 and 230,742.47

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Solution

The fourth proportional to 315,233.27, 473,171.56 and 230,742.47 is: 346,349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,233.27 : 473,171.56 = 230,742.47 : x
  2. Step 2: Convert to fraction form
    315,233.27/473,171.56 = 230,742.47/x
  3. Step 3: Cross multiply
    315,233.27x = 473,171.56 × 230,742.47
  4. Step 4: Simplify right side
    315,233.27x = 109,180,775,094.23
  5. Step 5: Solve for x
    x = 109,180,775,094.23/315,233.27
  6. Step 6: Final answer
    x = 346,349.15

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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.