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Finding the Fourth Proportional to 467,382, 644,987.16 and 266,196.72

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Solution

The fourth proportional to 467,382, 644,987.16 and 266,196.72 is: 367,351.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,382 : 644,987.16 = 266,196.72 : x
  2. Step 2: Convert to fraction form
    467,382/644,987.16 = 266,196.72/x
  3. Step 3: Cross multiply
    467,382x = 644,987.16 × 266,196.72
  4. Step 4: Simplify right side
    467,382x = 171,693,466,434.12
  5. Step 5: Solve for x
    x = 171,693,466,434.12/467,382
  6. Step 6: Final answer
    x = 367,351.47

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