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Finding the Fourth Proportional to 423,182.10, 583,992 and 232,196.94

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Solution

The fourth proportional to 423,182.10, 583,992 and 232,196.94 is: 320,432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,182.10 : 583,992 = 232,196.94 : x
  2. Step 2: Convert to fraction form
    423,182.10/583,992 = 232,196.94/x
  3. Step 3: Cross multiply
    423,182.10x = 583,992 × 232,196.94
  4. Step 4: Simplify right side
    423,182.10x = 135,601,155,384.48
  5. Step 5: Solve for x
    x = 135,601,155,384.48/423,182.10
  6. Step 6: Final answer
    x = 320,432.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.