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Finding the Fourth Proportional to 385,627.20, 578,527.20 and 148,948.80

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Solution

The fourth proportional to 385,627.20, 578,527.20 and 148,948.80 is: 223,456.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,627.20 : 578,527.20 = 148,948.80 : x
  2. Step 2: Convert to fraction form
    385,627.20/578,527.20 = 148,948.80/x
  3. Step 3: Cross multiply
    385,627.20x = 578,527.20 × 148,948.80
  4. Step 4: Simplify right side
    385,627.20x = 86,170,932,207.36
  5. Step 5: Solve for x
    x = 86,170,932,207.36/385,627.20
  6. Step 6: Final answer
    x = 223,456.57

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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.