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Finding the Fourth Proportional to 403,827.20, 605,827.20 and 123,372.80

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Solution

The fourth proportional to 403,827.20, 605,827.20 and 123,372.80 is: 185,085.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,827.20 : 605,827.20 = 123,372.80 : x
  2. Step 2: Convert to fraction form
    403,827.20/605,827.20 = 123,372.80/x
  3. Step 3: Cross multiply
    403,827.20x = 605,827.20 × 123,372.80
  4. Step 4: Simplify right side
    403,827.20x = 74,742,597,980.16
  5. Step 5: Solve for x
    x = 74,742,597,980.16/403,827.20
  6. Step 6: Final answer
    x = 185,085.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.