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Finding the Fourth Proportional to 384,332.52, 576,853.14 and 194,925.80

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Solution

The fourth proportional to 384,332.52, 576,853.14 and 194,925.80 is: 292,568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,332.52 : 576,853.14 = 194,925.80 : x
  2. Step 2: Convert to fraction form
    384,332.52/576,853.14 = 194,925.80/x
  3. Step 3: Cross multiply
    384,332.52x = 576,853.14 × 194,925.80
  4. Step 4: Simplify right side
    384,332.52x = 112,443,559,797.01
  5. Step 5: Solve for x
    x = 112,443,559,797.01/384,332.52
  6. Step 6: Final answer
    x = 292,568.42

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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.