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Finding the Fourth Proportional to 423,180.10, 583,989.24 and 232,194.93

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Solution

The fourth proportional to 423,180.10, 583,989.24 and 232,194.93 is: 320,429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,180.10 : 583,989.24 = 232,194.93 : x
  2. Step 2: Convert to fraction form
    423,180.10/583,989.24 = 232,194.93/x
  3. Step 3: Cross multiply
    423,180.10x = 583,989.24 × 232,194.93
  4. Step 4: Simplify right side
    423,180.10x = 135,599,340,702.55
  5. Step 5: Solve for x
    x = 135,599,340,702.55/423,180.10
  6. Step 6: Final answer
    x = 320,429.39

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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.