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Finding the Fourth Proportional to 576,225.20, 864,467.40 and 176,884.40

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Solution

The fourth proportional to 576,225.20, 864,467.40 and 176,884.40 is: 265,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,225.20 : 864,467.40 = 176,884.40 : x
  2. Step 2: Convert to fraction form
    576,225.20/864,467.40 = 176,884.40/x
  3. Step 3: Cross multiply
    576,225.20x = 864,467.40 × 176,884.40
  4. Step 4: Simplify right side
    576,225.20x = 152,910,797,368.56
  5. Step 5: Solve for x
    x = 152,910,797,368.56/576,225.20
  6. Step 6: Final answer
    x = 265,366.38

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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.