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Finding the Fourth Proportional to 290,803.20, 408,057.60 and 290,803.20

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Solution

The fourth proportional to 290,803.20, 408,057.60 and 290,803.20 is: 408,057.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,803.20 : 408,057.60 = 290,803.20 : x
  2. Step 2: Convert to fraction form
    290,803.20/408,057.60 = 290,803.20/x
  3. Step 3: Cross multiply
    290,803.20x = 408,057.60 × 290,803.20
  4. Step 4: Simplify right side
    290,803.20x = 118,664,455,864.32
  5. Step 5: Solve for x
    x = 118,664,455,864.32/290,803.20
  6. Step 6: Final answer
    x = 408,057.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.