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Finding the Fourth Proportional to 342,572.96, 513,564.17 and 164,835.47

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Solution

The fourth proportional to 342,572.96, 513,564.17 and 164,835.47 is: 247,111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,572.96 : 513,564.17 = 164,835.47 : x
  2. Step 2: Convert to fraction form
    342,572.96/513,564.17 = 164,835.47/x
  3. Step 3: Cross multiply
    342,572.96x = 513,564.17 × 164,835.47
  4. Step 4: Simplify right side
    342,572.96x = 84,653,591,796.84
  5. Step 5: Solve for x
    x = 84,653,591,796.84/342,572.96
  6. Step 6: Final answer
    x = 247,111.13

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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.