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Finding the Fourth Proportional to 614,701.40, 922,052.10 and 413,934.80

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Solution

The fourth proportional to 614,701.40, 922,052.10 and 413,934.80 is: 620,902.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,701.40 : 922,052.10 = 413,934.80 : x
  2. Step 2: Convert to fraction form
    614,701.40/922,052.10 = 413,934.80/x
  3. Step 3: Cross multiply
    614,701.40x = 922,052.10 × 413,934.80
  4. Step 4: Simplify right side
    614,701.40x = 381,669,451,603.08
  5. Step 5: Solve for x
    x = 381,669,451,603.08/614,701.40
  6. Step 6: Final answer
    x = 620,902.20

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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.