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Finding the Fourth Proportional to 342,402.87, 513,713.65 and 164,927.82

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Solution

The fourth proportional to 342,402.87, 513,713.65 and 164,927.82 is: 247,444.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,402.87 : 513,713.65 = 164,927.82 : x
  2. Step 2: Convert to fraction form
    342,402.87/513,713.65 = 164,927.82/x
  3. Step 3: Cross multiply
    342,402.87x = 513,713.65 × 164,927.82
  4. Step 4: Simplify right side
    342,402.87x = 84,725,669,417.86
  5. Step 5: Solve for x
    x = 84,725,669,417.86/342,402.87
  6. Step 6: Final answer
    x = 247,444.39

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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.