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Finding the Fourth Proportional to 342,001.80, 513,002.70 and 164,417.40

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Solution

The fourth proportional to 342,001.80, 513,002.70 and 164,417.40 is: 246,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,001.80 : 513,002.70 = 164,417.40 : x
  2. Step 2: Convert to fraction form
    342,001.80/513,002.70 = 164,417.40/x
  3. Step 3: Cross multiply
    342,001.80x = 513,002.70 × 164,417.40
  4. Step 4: Simplify right side
    342,001.80x = 84,346,570,126.98
  5. Step 5: Solve for x
    x = 84,346,570,126.98/342,001.80
  6. Step 6: Final answer
    x = 246,626.10

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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.