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Finding the Fourth Proportional to 473,367.84, 653,161.28 and 269,406.86

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Solution

The fourth proportional to 473,367.84, 653,161.28 and 269,406.86 is: 371,732.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,367.84 : 653,161.28 = 269,406.86 : x
  2. Step 2: Convert to fraction form
    473,367.84/653,161.28 = 269,406.86/x
  3. Step 3: Cross multiply
    473,367.84x = 653,161.28 × 269,406.86
  4. Step 4: Simplify right side
    473,367.84x = 175,966,129,518.38
  5. Step 5: Solve for x
    x = 175,966,129,518.38/473,367.84
  6. Step 6: Final answer
    x = 371,732.33

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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.