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Finding the Fourth Proportional to 653,072.20, 978,296.10 and 372,261.40

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Solution

The fourth proportional to 653,072.20, 978,296.10 and 372,261.40 is: 557,644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,072.20 : 978,296.10 = 372,261.40 : x
  2. Step 2: Convert to fraction form
    653,072.20/978,296.10 = 372,261.40/x
  3. Step 3: Cross multiply
    653,072.20x = 978,296.10 × 372,261.40
  4. Step 4: Simplify right side
    653,072.20x = 364,181,875,800.54
  5. Step 5: Solve for x
    x = 364,181,875,800.54/653,072.20
  6. Step 6: Final answer
    x = 557,644.13

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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.