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Finding the Fourth Proportional to 473,205.86, 652,999.54 and 269,252.66

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Solution

The fourth proportional to 473,205.86, 652,999.54 and 269,252.66 is: 371,554.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,205.86 : 652,999.54 = 269,252.66 : x
  2. Step 2: Convert to fraction form
    473,205.86/652,999.54 = 269,252.66/x
  3. Step 3: Cross multiply
    473,205.86x = 652,999.54 × 269,252.66
  4. Step 4: Simplify right side
    473,205.86x = 175,821,863,123.78
  5. Step 5: Solve for x
    x = 175,821,863,123.78/473,205.86
  6. Step 6: Final answer
    x = 371,554.70

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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.