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Finding the Fourth Proportional to 277,002.40, 414,920.40 and 230,346.40

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Solution

The fourth proportional to 277,002.40, 414,920.40 and 230,346.40 is: 345,034.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,002.40 : 414,920.40 = 230,346.40 : x
  2. Step 2: Convert to fraction form
    277,002.40/414,920.40 = 230,346.40/x
  3. Step 3: Cross multiply
    277,002.40x = 414,920.40 × 230,346.40
  4. Step 4: Simplify right side
    277,002.40x = 95,575,420,426.56
  5. Step 5: Solve for x
    x = 95,575,420,426.56/277,002.40
  6. Step 6: Final answer
    x = 345,034.63

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1.5x scale

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.