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Finding the Fourth Proportional to 974,713.20, 1,462,069.80 and 413,674.80

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Solution

The fourth proportional to 974,713.20, 1,462,069.80 and 413,674.80 is: 620,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,713.20 : 1,462,069.80 = 413,674.80 : x
  2. Step 2: Convert to fraction form
    974,713.20/1,462,069.80 = 413,674.80/x
  3. Step 3: Cross multiply
    974,713.20x = 1,462,069.80 × 413,674.80
  4. Step 4: Simplify right side
    974,713.20x = 604,821,432,101.04
  5. Step 5: Solve for x
    x = 604,821,432,101.04/974,713.20
  6. Step 6: Final answer
    x = 620,512.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.