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Finding the Fourth Proportional to 466,369, 643,589.22 and 265,165

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Solution

The fourth proportional to 466,369, 643,589.22 and 265,165 is: 365,927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,369 : 643,589.22 = 265,165 : x
  2. Step 2: Convert to fraction form
    466,369/643,589.22 = 265,165/x
  3. Step 3: Cross multiply
    466,369x = 643,589.22 × 265,165
  4. Step 4: Simplify right side
    466,369x = 170,657,335,521.30
  5. Step 5: Solve for x
    x = 170,657,335,521.30/466,369
  6. Step 6: Final answer
    x = 365,927.70

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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.