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Finding the Fourth Proportional to 653,351.24, 978,598.02 and 463,235.33

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Solution

The fourth proportional to 653,351.24, 978,598.02 and 463,235.33 is: 693,839.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,351.24 : 978,598.02 = 463,235.33 : x
  2. Step 2: Convert to fraction form
    653,351.24/978,598.02 = 463,235.33/x
  3. Step 3: Cross multiply
    653,351.24x = 978,598.02 × 463,235.33
  4. Step 4: Simplify right side
    653,351.24x = 453,321,176,732.05
  5. Step 5: Solve for x
    x = 453,321,176,732.05/653,351.24
  6. Step 6: Final answer
    x = 693,839.93

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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.