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Finding the Fourth Proportional to 362,971.60, 544,568.16 and 185,603.20

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Solution

The fourth proportional to 362,971.60, 544,568.16 and 185,603.20 is: 278,461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,971.60 : 544,568.16 = 185,603.20 : x
  2. Step 2: Convert to fraction form
    362,971.60/544,568.16 = 185,603.20/x
  3. Step 3: Cross multiply
    362,971.60x = 544,568.16 × 185,603.20
  4. Step 4: Simplify right side
    362,971.60x = 101,073,593,114.11
  5. Step 5: Solve for x
    x = 101,073,593,114.11/362,971.60
  6. Step 6: Final answer
    x = 278,461.44

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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.