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Finding the Fourth Proportional to 381,703.80, 572,774.40 and 145,216.20

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Solution

The fourth proportional to 381,703.80, 572,774.40 and 145,216.20 is: 217,907.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,703.80 : 572,774.40 = 145,216.20 : x
  2. Step 2: Convert to fraction form
    381,703.80/572,774.40 = 145,216.20/x
  3. Step 3: Cross multiply
    381,703.80x = 572,774.40 × 145,216.20
  4. Step 4: Simplify right side
    381,703.80x = 83,176,121,825.28
  5. Step 5: Solve for x
    x = 83,176,121,825.28/381,703.80
  6. Step 6: Final answer
    x = 217,907.50

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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.