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Finding the Fourth Proportional to 385,406.70, 578,210.85 and 148,757.10

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Solution

The fourth proportional to 385,406.70, 578,210.85 and 148,757.10 is: 223,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,406.70 : 578,210.85 = 148,757.10 : x
  2. Step 2: Convert to fraction form
    385,406.70/578,210.85 = 148,757.10/x
  3. Step 3: Cross multiply
    385,406.70x = 578,210.85 × 148,757.10
  4. Step 4: Simplify right side
    385,406.70x = 86,012,969,234.54
  5. Step 5: Solve for x
    x = 86,012,969,234.54/385,406.70
  6. Step 6: Final answer
    x = 223,174.56

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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.