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Finding the Fourth Proportional to 473,182, 652,985.20 and 269,232.28

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Solution

The fourth proportional to 473,182, 652,985.20 and 269,232.28 is: 371,537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,182 : 652,985.20 = 269,232.28 : x
  2. Step 2: Convert to fraction form
    473,182/652,985.20 = 269,232.28/x
  3. Step 3: Cross multiply
    473,182x = 652,985.20 × 269,232.28
  4. Step 4: Simplify right side
    473,182x = 175,804,694,202.26
  5. Step 5: Solve for x
    x = 175,804,694,202.26/473,182
  6. Step 6: Final answer
    x = 371,537.16

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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.