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Finding the Fourth Proportional to 680,164.80, 1,020,247.20 and 381,566.40

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Solution

The fourth proportional to 680,164.80, 1,020,247.20 and 381,566.40 is: 572,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,164.80 : 1,020,247.20 = 381,566.40 : x
  2. Step 2: Convert to fraction form
    680,164.80/1,020,247.20 = 381,566.40/x
  3. Step 3: Cross multiply
    680,164.80x = 1,020,247.20 × 381,566.40
  4. Step 4: Simplify right side
    680,164.80x = 389,292,051,214.08
  5. Step 5: Solve for x
    x = 389,292,051,214.08/680,164.80
  6. Step 6: Final answer
    x = 572,349.60

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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.