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Finding the Fourth Proportional to 614,342.93, 920,902.01 and 293,903.69

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Solution

The fourth proportional to 614,342.93, 920,902.01 and 293,903.69 is: 440,562.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,342.93 : 920,902.01 = 293,903.69 : x
  2. Step 2: Convert to fraction form
    614,342.93/920,902.01 = 293,903.69/x
  3. Step 3: Cross multiply
    614,342.93x = 920,902.01 × 293,903.69
  4. Step 4: Simplify right side
    614,342.93x = 270,656,492,793.39
  5. Step 5: Solve for x
    x = 270,656,492,793.39/614,342.93
  6. Step 6: Final answer
    x = 440,562.56

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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.