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Finding the Fourth Proportional to 576,488.52, 864,729.54 and 197,412.57

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Solution

The fourth proportional to 576,488.52, 864,729.54 and 197,412.57 is: 296,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,488.52 : 864,729.54 = 197,412.57 : x
  2. Step 2: Convert to fraction form
    576,488.52/864,729.54 = 197,412.57/x
  3. Step 3: Cross multiply
    576,488.52x = 864,729.54 × 197,412.57
  4. Step 4: Simplify right side
    576,488.52x = 170,708,480,846.32
  5. Step 5: Solve for x
    x = 170,708,480,846.32/576,488.52
  6. Step 6: Final answer
    x = 296,117.75

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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.