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Finding the Fourth Proportional to 342,007.80, 513,011.70 and 164,423.40

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Solution

The fourth proportional to 342,007.80, 513,011.70 and 164,423.40 is: 246,635.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,007.80 : 513,011.70 = 164,423.40 : x
  2. Step 2: Convert to fraction form
    342,007.80/513,011.70 = 164,423.40/x
  3. Step 3: Cross multiply
    342,007.80x = 513,011.70 × 164,423.40
  4. Step 4: Simplify right side
    342,007.80x = 84,351,127,953.78
  5. Step 5: Solve for x
    x = 84,351,127,953.78/342,007.80
  6. Step 6: Final answer
    x = 246,635.10

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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.