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Finding the Fourth Proportional to 372,644.88, 514,234.47 and 211,497

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Solution

The fourth proportional to 372,644.88, 514,234.47 and 211,497 is: 291,857.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,644.88 : 514,234.47 = 211,497 : x
  2. Step 2: Convert to fraction form
    372,644.88/514,234.47 = 211,497/x
  3. Step 3: Cross multiply
    372,644.88x = 514,234.47 × 211,497
  4. Step 4: Simplify right side
    372,644.88x = 108,759,047,701.59
  5. Step 5: Solve for x
    x = 108,759,047,701.59/372,644.88
  6. Step 6: Final answer
    x = 291,857.08

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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.