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Finding the Fourth Proportional to 437,964.20, 656,168.70 and 409,970.60

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Solution

The fourth proportional to 437,964.20, 656,168.70 and 409,970.60 is: 614,228.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,964.20 : 656,168.70 = 409,970.60 : x
  2. Step 2: Convert to fraction form
    437,964.20/656,168.70 = 409,970.60/x
  3. Step 3: Cross multiply
    437,964.20x = 656,168.70 × 409,970.60
  4. Step 4: Simplify right side
    437,964.20x = 269,009,875,640.22
  5. Step 5: Solve for x
    x = 269,009,875,640.22/437,964.20
  6. Step 6: Final answer
    x = 614,228.00

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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.