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Finding the Fourth Proportional to 419,115.73, 578,363.65 and 237,816.85

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Solution

The fourth proportional to 419,115.73, 578,363.65 and 237,816.85 is: 328,178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,115.73 : 578,363.65 = 237,816.85 : x
  2. Step 2: Convert to fraction form
    419,115.73/578,363.65 = 237,816.85/x
  3. Step 3: Cross multiply
    419,115.73x = 578,363.65 × 237,816.85
  4. Step 4: Simplify right side
    419,115.73x = 137,544,621,300.31
  5. Step 5: Solve for x
    x = 137,544,621,300.31/419,115.73
  6. Step 6: Final answer
    x = 328,178.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.