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Finding the Fourth Proportional to 423,002.36, 583,740.06 and 232,014.39

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Solution

The fourth proportional to 423,002.36, 583,740.06 and 232,014.39 is: 320,178.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,002.36 : 583,740.06 = 232,014.39 : x
  2. Step 2: Convert to fraction form
    423,002.36/583,740.06 = 232,014.39/x
  3. Step 3: Cross multiply
    423,002.36x = 583,740.06 × 232,014.39
  4. Step 4: Simplify right side
    423,002.36x = 135,436,093,939.46
  5. Step 5: Solve for x
    x = 135,436,093,939.46/423,002.36
  6. Step 6: Final answer
    x = 320,178.11

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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.