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Finding the Fourth Proportional to 473,455.88, 653,282.37 and 269,494.91

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Solution

The fourth proportional to 473,455.88, 653,282.37 and 269,494.91 is: 371,853.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,455.88 : 653,282.37 = 269,494.91 : x
  2. Step 2: Convert to fraction form
    473,455.88/653,282.37 = 269,494.91/x
  3. Step 3: Cross multiply
    473,455.88x = 653,282.37 × 269,494.91
  4. Step 4: Simplify right side
    473,455.88x = 176,056,273,507.74
  5. Step 5: Solve for x
    x = 176,056,273,507.74/473,455.88
  6. Step 6: Final answer
    x = 371,853.60

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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.