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Finding the Fourth Proportional to 564,352.24, 846,805.14 and 264,857.16

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Solution

The fourth proportional to 564,352.24, 846,805.14 and 264,857.16 is: 397,415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,352.24 : 846,805.14 = 264,857.16 : x
  2. Step 2: Convert to fraction form
    564,352.24/846,805.14 = 264,857.16/x
  3. Step 3: Cross multiply
    564,352.24x = 846,805.14 × 264,857.16
  4. Step 4: Simplify right side
    564,352.24x = 224,282,404,453.80
  5. Step 5: Solve for x
    x = 224,282,404,453.80/564,352.24
  6. Step 6: Final answer
    x = 397,415.64

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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.