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Finding the Fourth Proportional to 293,025.20, 440,477.40 and 272,224.40

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Solution

The fourth proportional to 293,025.20, 440,477.40 and 272,224.40 is: 409,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,025.20 : 440,477.40 = 272,224.40 : x
  2. Step 2: Convert to fraction form
    293,025.20/440,477.40 = 272,224.40/x
  3. Step 3: Cross multiply
    293,025.20x = 440,477.40 × 272,224.40
  4. Step 4: Simplify right side
    293,025.20x = 119,908,695,928.56
  5. Step 5: Solve for x
    x = 119,908,695,928.56/293,025.20
  6. Step 6: Final answer
    x = 409,209.50

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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.