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Finding the Fourth Proportional to 362,817.20, 544,312.20 and 152,346.80

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Solution

The fourth proportional to 362,817.20, 544,312.20 and 152,346.80 is: 228,556.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,817.20 : 544,312.20 = 152,346.80 : x
  2. Step 2: Convert to fraction form
    362,817.20/544,312.20 = 152,346.80/x
  3. Step 3: Cross multiply
    362,817.20x = 544,312.20 × 152,346.80
  4. Step 4: Simplify right side
    362,817.20x = 82,924,221,870.96
  5. Step 5: Solve for x
    x = 82,924,221,870.96/362,817.20
  6. Step 6: Final answer
    x = 228,556.48

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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.