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Finding the Fourth Proportional to 564,301.69, 846,624.77 and 180,040.33

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Solution

The fourth proportional to 564,301.69, 846,624.77 and 180,040.33 is: 270,115.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,301.69 : 846,624.77 = 180,040.33 : x
  2. Step 2: Convert to fraction form
    564,301.69/846,624.77 = 180,040.33/x
  3. Step 3: Cross multiply
    564,301.69x = 846,624.77 × 180,040.33
  4. Step 4: Simplify right side
    564,301.69x = 152,426,599,047.94
  5. Step 5: Solve for x
    x = 152,426,599,047.94/564,301.69
  6. Step 6: Final answer
    x = 270,115.44

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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.