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Finding the Fourth Proportional to 473,414.86, 653,316.69 and 269,478.91

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Solution

The fourth proportional to 473,414.86, 653,316.69 and 269,478.91 is: 371,883.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,414.86 : 653,316.69 = 269,478.91 : x
  2. Step 2: Convert to fraction form
    473,414.86/653,316.69 = 269,478.91/x
  3. Step 3: Cross multiply
    473,414.86x = 653,316.69 × 269,478.91
  4. Step 4: Simplify right side
    473,414.86x = 176,055,069,506.01
  5. Step 5: Solve for x
    x = 176,055,069,506.01/473,414.86
  6. Step 6: Final answer
    x = 371,883.28

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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.