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Finding the Fourth Proportional to 442,115.81, 610,119.70 and 240,911.81

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Solution

The fourth proportional to 442,115.81, 610,119.70 and 240,911.81 is: 332,458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,115.81 : 610,119.70 = 240,911.81 : x
  2. Step 2: Convert to fraction form
    442,115.81/610,119.70 = 240,911.81/x
  3. Step 3: Cross multiply
    442,115.81x = 610,119.70 × 240,911.81
  4. Step 4: Simplify right side
    442,115.81x = 146,985,041,243.66
  5. Step 5: Solve for x
    x = 146,985,041,243.66/442,115.81
  6. Step 6: Final answer
    x = 332,458.23

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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.