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Finding the Fourth Proportional to 635,728.84, 953,000.34 and 214,710.28

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Solution

The fourth proportional to 635,728.84, 953,000.34 and 214,710.28 is: 321,865.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,728.84 : 953,000.34 = 214,710.28 : x
  2. Step 2: Convert to fraction form
    635,728.84/953,000.34 = 214,710.28/x
  3. Step 3: Cross multiply
    635,728.84x = 953,000.34 × 214,710.28
  4. Step 4: Simplify right side
    635,728.84x = 204,618,966,653.83
  5. Step 5: Solve for x
    x = 204,618,966,653.83/635,728.84
  6. Step 6: Final answer
    x = 321,865.16

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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.