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Finding the Fourth Proportional to 496,460.16, 744,698.34 and 240,143.76

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Solution

The fourth proportional to 496,460.16, 744,698.34 and 240,143.76 is: 360,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,460.16 : 744,698.34 = 240,143.76 : x
  2. Step 2: Convert to fraction form
    496,460.16/744,698.34 = 240,143.76/x
  3. Step 3: Cross multiply
    496,460.16x = 744,698.34 × 240,143.76
  4. Step 4: Simplify right side
    496,460.16x = 178,834,659,433.36
  5. Step 5: Solve for x
    x = 178,834,659,433.36/496,460.16
  6. Step 6: Final answer
    x = 360,219.56

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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.