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Finding the Fourth Proportional to 385,561.20, 578,428.20 and 148,882.80

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Solution

The fourth proportional to 385,561.20, 578,428.20 and 148,882.80 is: 223,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,561.20 : 578,428.20 = 148,882.80 : x
  2. Step 2: Convert to fraction form
    385,561.20/578,428.20 = 148,882.80/x
  3. Step 3: Cross multiply
    385,561.20x = 578,428.20 × 148,882.80
  4. Step 4: Simplify right side
    385,561.20x = 86,118,010,014.96
  5. Step 5: Solve for x
    x = 86,118,010,014.96/385,561.20
  6. Step 6: Final answer
    x = 223,357.56

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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.