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Finding the Fourth Proportional to 653,480.84, 978,510.54 and 428,132.36

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Solution

The fourth proportional to 653,480.84, 978,510.54 and 428,132.36 is: 641,077.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,480.84 : 978,510.54 = 428,132.36 : x
  2. Step 2: Convert to fraction form
    653,480.84/978,510.54 = 428,132.36/x
  3. Step 3: Cross multiply
    653,480.84x = 978,510.54 × 428,132.36
  4. Step 4: Simplify right side
    653,480.84x = 418,932,026,775.07
  5. Step 5: Solve for x
    x = 418,932,026,775.07/653,480.84
  6. Step 6: Final answer
    x = 641,077.75

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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.