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Finding the Fourth Proportional to 497,595.47, 745,951.25 and 193,919.29

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Solution

The fourth proportional to 497,595.47, 745,951.25 and 193,919.29 is: 290,706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,595.47 : 745,951.25 = 193,919.29 : x
  2. Step 2: Convert to fraction form
    497,595.47/745,951.25 = 193,919.29/x
  3. Step 3: Cross multiply
    497,595.47x = 745,951.25 × 193,919.29
  4. Step 4: Simplify right side
    497,595.47x = 144,654,332,075.26
  5. Step 5: Solve for x
    x = 144,654,332,075.26/497,595.47
  6. Step 6: Final answer
    x = 290,706.69

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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.