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Finding the Fourth Proportional to 614,749.90, 922,124.85 and 413,983.30

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Solution

The fourth proportional to 614,749.90, 922,124.85 and 413,983.30 is: 620,974.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,749.90 : 922,124.85 = 413,983.30 : x
  2. Step 2: Convert to fraction form
    614,749.90/922,124.85 = 413,983.30/x
  3. Step 3: Cross multiply
    614,749.90x = 922,124.85 × 413,983.30
  4. Step 4: Simplify right side
    614,749.90x = 381,744,288,415.01
  5. Step 5: Solve for x
    x = 381,744,288,415.01/614,749.90
  6. Step 6: Final answer
    x = 620,974.95

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1.5x scale

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.