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Finding the Fourth Proportional to 473,146.30, 652,854.55 and 269,185.31

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Solution

The fourth proportional to 473,146.30, 652,854.55 and 269,185.31 is: 371,426.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,146.30 : 652,854.55 = 269,185.31 : x
  2. Step 2: Convert to fraction form
    473,146.30/652,854.55 = 269,185.31/x
  3. Step 3: Cross multiply
    473,146.30x = 652,854.55 × 269,185.31
  4. Step 4: Simplify right side
    473,146.30x = 175,738,854,426.66
  5. Step 5: Solve for x
    x = 175,738,854,426.66/473,146.30
  6. Step 6: Final answer
    x = 371,426.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.