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Finding the Fourth Proportional to 1,298,511.90, 1,947,767.85 and 766,287.90

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Solution

The fourth proportional to 1,298,511.90, 1,947,767.85 and 766,287.90 is: 1,149,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,511.90 : 1,947,767.85 = 766,287.90 : x
  2. Step 2: Convert to fraction form
    1,298,511.90/1,947,767.85 = 766,287.90/x
  3. Step 3: Cross multiply
    1,298,511.90x = 1,947,767.85 × 766,287.90
  4. Step 4: Simplify right side
    1,298,511.90x = 1,492,550,935,464.02
  5. Step 5: Solve for x
    x = 1,492,550,935,464.02/1,298,511.90
  6. Step 6: Final answer
    x = 1,149,431.85

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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.