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Finding the Fourth Proportional to 576,140.20, 864,339.90 and 176,799.40

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Solution

The fourth proportional to 576,140.20, 864,339.90 and 176,799.40 is: 265,238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,140.20 : 864,339.90 = 176,799.40 : x
  2. Step 2: Convert to fraction form
    576,140.20/864,339.90 = 176,799.40/x
  3. Step 3: Cross multiply
    576,140.20x = 864,339.90 × 176,799.40
  4. Step 4: Simplify right side
    576,140.20x = 152,814,775,716.06
  5. Step 5: Solve for x
    x = 152,814,775,716.06/576,140.20
  6. Step 6: Final answer
    x = 265,238.87

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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.