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Finding the Fourth Proportional to 614,727.70, 921,107.40 and 389,685.40

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Solution

The fourth proportional to 614,727.70, 921,107.40 and 389,685.40 is: 583,904.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,727.70 : 921,107.40 = 389,685.40 : x
  2. Step 2: Convert to fraction form
    614,727.70/921,107.40 = 389,685.40/x
  3. Step 3: Cross multiply
    614,727.70x = 921,107.40 × 389,685.40
  4. Step 4: Simplify right side
    614,727.70x = 358,942,105,611.96
  5. Step 5: Solve for x
    x = 358,942,105,611.96/614,727.70
  6. Step 6: Final answer
    x = 583,904.23

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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.