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Finding the Fourth Proportional to 652,249.10, 978,373.65 and 564,769.10

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Solution

The fourth proportional to 652,249.10, 978,373.65 and 564,769.10 is: 847,153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,249.10 : 978,373.65 = 564,769.10 : x
  2. Step 2: Convert to fraction form
    652,249.10/978,373.65 = 564,769.10/x
  3. Step 3: Cross multiply
    652,249.10x = 978,373.65 × 564,769.10
  4. Step 4: Simplify right side
    652,249.10x = 552,555,205,774.22
  5. Step 5: Solve for x
    x = 552,555,205,774.22/652,249.10
  6. Step 6: Final answer
    x = 847,153.65

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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.