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Finding the Fourth Proportional to 647,025.80, 970,538.70 and 409,663.40

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Solution

The fourth proportional to 647,025.80, 970,538.70 and 409,663.40 is: 614,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,025.80 : 970,538.70 = 409,663.40 : x
  2. Step 2: Convert to fraction form
    647,025.80/970,538.70 = 409,663.40/x
  3. Step 3: Cross multiply
    647,025.80x = 970,538.70 × 409,663.40
  4. Step 4: Simplify right side
    647,025.80x = 397,594,183,673.58
  5. Step 5: Solve for x
    x = 397,594,183,673.58/647,025.80
  6. Step 6: Final answer
    x = 614,495.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.