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Finding the Fourth Proportional to 467,727.20, 702,109.20 and 290,434.40

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Solution

The fourth proportional to 467,727.20, 702,109.20 and 290,434.40 is: 435,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,727.20 : 702,109.20 = 290,434.40 : x
  2. Step 2: Convert to fraction form
    467,727.20/702,109.20 = 290,434.40/x
  3. Step 3: Cross multiply
    467,727.20x = 702,109.20 × 290,434.40
  4. Step 4: Simplify right side
    467,727.20x = 203,916,664,236.48
  5. Step 5: Solve for x
    x = 203,916,664,236.48/467,727.20
  6. Step 6: Final answer
    x = 435,973.50

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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.