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Finding the Fourth Proportional to 473,636.40, 653,586.84 and 269,708.16

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Solution

The fourth proportional to 473,636.40, 653,586.84 and 269,708.16 is: 372,179.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,636.40 : 653,586.84 = 269,708.16 : x
  2. Step 2: Convert to fraction form
    473,636.40/653,586.84 = 269,708.16/x
  3. Step 3: Cross multiply
    473,636.40x = 653,586.84 × 269,708.16
  4. Step 4: Simplify right side
    473,636.40x = 176,277,704,016.61
  5. Step 5: Solve for x
    x = 176,277,704,016.61/473,636.40
  6. Step 6: Final answer
    x = 372,179.38

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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.