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Finding the Fourth Proportional to 646,572.30, 969,858.45 and 410,181.90

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Solution

The fourth proportional to 646,572.30, 969,858.45 and 410,181.90 is: 615,272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,572.30 : 969,858.45 = 410,181.90 : x
  2. Step 2: Convert to fraction form
    646,572.30/969,858.45 = 410,181.90/x
  3. Step 3: Cross multiply
    646,572.30x = 969,858.45 × 410,181.90
  4. Step 4: Simplify right side
    646,572.30x = 397,818,381,752.06
  5. Step 5: Solve for x
    x = 397,818,381,752.06/646,572.30
  6. Step 6: Final answer
    x = 615,272.85

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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.