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Finding the Fourth Proportional to 473,184.78, 653,032.26 and 269,244.29

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Solution

The fourth proportional to 473,184.78, 653,032.26 and 269,244.29 is: 371,578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,184.78 : 653,032.26 = 269,244.29 : x
  2. Step 2: Convert to fraction form
    473,184.78/653,032.26 = 269,244.29/x
  3. Step 3: Cross multiply
    473,184.78x = 653,032.26 × 269,244.29
  4. Step 4: Simplify right side
    473,184.78x = 175,825,203,925.63
  5. Step 5: Solve for x
    x = 175,825,203,925.63/473,184.78
  6. Step 6: Final answer
    x = 371,578.32

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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.