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Finding the Fourth Proportional to 804,070, 1,206,657.96 and 278,758

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Solution

The fourth proportional to 804,070, 1,206,657.96 and 278,758 is: 418,328.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,070 : 1,206,657.96 = 278,758 : x
  2. Step 2: Convert to fraction form
    804,070/1,206,657.96 = 278,758/x
  3. Step 3: Cross multiply
    804,070x = 1,206,657.96 × 278,758
  4. Step 4: Simplify right side
    804,070x = 336,365,559,613.68
  5. Step 5: Solve for x
    x = 336,365,559,613.68/804,070
  6. Step 6: Final answer
    x = 418,328.70

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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.