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Finding the Fourth Proportional to 410,749.45, 614,625.45 and 242,350.45

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Solution

The fourth proportional to 410,749.45, 614,625.45 and 242,350.45 is: 362,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,749.45 : 614,625.45 = 242,350.45 : x
  2. Step 2: Convert to fraction form
    410,749.45/614,625.45 = 242,350.45/x
  3. Step 3: Cross multiply
    410,749.45x = 614,625.45 × 242,350.45
  4. Step 4: Simplify right side
    410,749.45x = 148,954,754,388.95
  5. Step 5: Solve for x
    x = 148,954,754,388.95/410,749.45
  6. Step 6: Final answer
    x = 362,641.40

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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.