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Finding the Fourth Proportional to 340,377.20, 510,565.80 and 162,842.48

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Solution

The fourth proportional to 340,377.20, 510,565.80 and 162,842.48 is: 244,263.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,377.20 : 510,565.80 = 162,842.48 : x
  2. Step 2: Convert to fraction form
    340,377.20/510,565.80 = 162,842.48/x
  3. Step 3: Cross multiply
    340,377.20x = 510,565.80 × 162,842.48
  4. Step 4: Simplify right side
    340,377.20x = 83,141,801,075.18
  5. Step 5: Solve for x
    x = 83,141,801,075.18/340,377.20
  6. Step 6: Final answer
    x = 244,263.72

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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.