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Finding the Fourth Proportional to 680,208.80, 1,019,438.40 and 413,686.40

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Solution

The fourth proportional to 680,208.80, 1,019,438.40 and 413,686.40 is: 619,997.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,208.80 : 1,019,438.40 = 413,686.40 : x
  2. Step 2: Convert to fraction form
    680,208.80/1,019,438.40 = 413,686.40/x
  3. Step 3: Cross multiply
    680,208.80x = 1,019,438.40 × 413,686.40
  4. Step 4: Simplify right side
    680,208.80x = 421,727,801,717.76
  5. Step 5: Solve for x
    x = 421,727,801,717.76/680,208.80
  6. Step 6: Final answer
    x = 619,997.57

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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.