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Finding the Fourth Proportional to 423,172.38, 583,988.64 and 232,185.72

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Solution

The fourth proportional to 423,172.38, 583,988.64 and 232,185.72 is: 320,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,172.38 : 583,988.64 = 232,185.72 : x
  2. Step 2: Convert to fraction form
    423,172.38/583,988.64 = 232,185.72/x
  3. Step 3: Cross multiply
    423,172.38x = 583,988.64 × 232,185.72
  4. Step 4: Simplify right side
    423,172.38x = 135,593,824,169.48
  5. Step 5: Solve for x
    x = 135,593,824,169.48/423,172.38
  6. Step 6: Final answer
    x = 320,422.20

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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.