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Finding the Fourth Proportional to 680,296.80, 1,019,570.40 and 413,774.40

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Solution

The fourth proportional to 680,296.80, 1,019,570.40 and 413,774.40 is: 620,129.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,296.80 : 1,019,570.40 = 413,774.40 : x
  2. Step 2: Convert to fraction form
    680,296.80/1,019,570.40 = 413,774.40/x
  3. Step 3: Cross multiply
    680,296.80x = 1,019,570.40 × 413,774.40
  4. Step 4: Simplify right side
    680,296.80x = 421,872,130,517.76
  5. Step 5: Solve for x
    x = 421,872,130,517.76/680,296.80
  6. Step 6: Final answer
    x = 620,129.52

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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.