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Finding the Fourth Proportional to 342,046.80, 513,070.20 and 164,462.40

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Solution

The fourth proportional to 342,046.80, 513,070.20 and 164,462.40 is: 246,693.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,046.80 : 513,070.20 = 164,462.40 : x
  2. Step 2: Convert to fraction form
    342,046.80/513,070.20 = 164,462.40/x
  3. Step 3: Cross multiply
    342,046.80x = 513,070.20 × 164,462.40
  4. Step 4: Simplify right side
    342,046.80x = 84,380,756,460.48
  5. Step 5: Solve for x
    x = 84,380,756,460.48/342,046.80
  6. Step 6: Final answer
    x = 246,693.60

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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.