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Finding the Fourth Proportional to 1,435,784.09, 1,981,356.51 and 782,415.80

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Solution

The fourth proportional to 1,435,784.09, 1,981,356.51 and 782,415.80 is: 1,079,719.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,784.09 : 1,981,356.51 = 782,415.80 : x
  2. Step 2: Convert to fraction form
    1,435,784.09/1,981,356.51 = 782,415.80/x
  3. Step 3: Cross multiply
    1,435,784.09x = 1,981,356.51 × 782,415.80
  4. Step 4: Simplify right side
    1,435,784.09x = 1,550,244,638,856.86
  5. Step 5: Solve for x
    x = 1,550,244,638,856.86/1,435,784.09
  6. Step 6: Final answer
    x = 1,079,719.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.