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Finding the Fourth Proportional to 643,587.71, 965,537.64 and 194,281.76

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Solution

The fourth proportional to 643,587.71, 965,537.64 and 194,281.76 is: 291,469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,587.71 : 965,537.64 = 194,281.76 : x
  2. Step 2: Convert to fraction form
    643,587.71/965,537.64 = 194,281.76/x
  3. Step 3: Cross multiply
    643,587.71x = 965,537.64 × 194,281.76
  4. Step 4: Simplify right side
    643,587.71x = 187,586,352,045.45
  5. Step 5: Solve for x
    x = 187,586,352,045.45/643,587.71
  6. Step 6: Final answer
    x = 291,469.75

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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.