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Finding the Fourth Proportional to 442,062, 610,045.56 and 240,858

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Solution

The fourth proportional to 442,062, 610,045.56 and 240,858 is: 332,384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,062 : 610,045.56 = 240,858 : x
  2. Step 2: Convert to fraction form
    442,062/610,045.56 = 240,858/x
  3. Step 3: Cross multiply
    442,062x = 610,045.56 × 240,858
  4. Step 4: Simplify right side
    442,062x = 146,934,353,490.48
  5. Step 5: Solve for x
    x = 146,934,353,490.48/442,062
  6. Step 6: Final answer
    x = 332,384.04

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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.