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Finding the Fourth Proportional to 977,709.70, 1,466,491.65 and 408,943.90

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Solution

The fourth proportional to 977,709.70, 1,466,491.65 and 408,943.90 is: 613,385.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,709.70 : 1,466,491.65 = 408,943.90 : x
  2. Step 2: Convert to fraction form
    977,709.70/1,466,491.65 = 408,943.90/x
  3. Step 3: Cross multiply
    977,709.70x = 1,466,491.65 × 408,943.90
  4. Step 4: Simplify right side
    977,709.70x = 599,712,814,668.44
  5. Step 5: Solve for x
    x = 599,712,814,668.44/977,709.70
  6. Step 6: Final answer
    x = 613,385.36

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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.