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Finding the Fourth Proportional to 1,416,584.77, 1,954,829.92 and 771,991.13

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Solution

The fourth proportional to 1,416,584.77, 1,954,829.92 and 771,991.13 is: 1,065,316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416,584.77 : 1,954,829.92 = 771,991.13 : x
  2. Step 2: Convert to fraction form
    1,416,584.77/1,954,829.92 = 771,991.13/x
  3. Step 3: Cross multiply
    1,416,584.77x = 1,954,829.92 × 771,991.13
  4. Step 4: Simplify right side
    1,416,584.77x = 1,509,111,358,898.61
  5. Step 5: Solve for x
    x = 1,509,111,358,898.61/1,416,584.77
  6. Step 6: Final answer
    x = 1,065,316.66

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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.