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Finding the Fourth Proportional to 362,817.20, 544,031.40 and 152,217.20

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Solution

The fourth proportional to 362,817.20, 544,031.40 and 152,217.20 is: 228,244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,817.20 : 544,031.40 = 152,217.20 : x
  2. Step 2: Convert to fraction form
    362,817.20/544,031.40 = 152,217.20/x
  3. Step 3: Cross multiply
    362,817.20x = 544,031.40 × 152,217.20
  4. Step 4: Simplify right side
    362,817.20x = 82,810,936,420.08
  5. Step 5: Solve for x
    x = 82,810,936,420.08/362,817.20
  6. Step 6: Final answer
    x = 228,244.24

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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.