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Finding the Fourth Proportional to 564,266.26, 778,700.90 and 322,571.32

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Solution

The fourth proportional to 564,266.26, 778,700.90 and 322,571.32 is: 445,156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,266.26 : 778,700.90 = 322,571.32 : x
  2. Step 2: Convert to fraction form
    564,266.26/778,700.90 = 322,571.32/x
  3. Step 3: Cross multiply
    564,266.26x = 778,700.90 × 322,571.32
  4. Step 4: Simplify right side
    564,266.26x = 251,186,577,198.19
  5. Step 5: Solve for x
    x = 251,186,577,198.19/564,266.26
  6. Step 6: Final answer
    x = 445,156.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.