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Finding the Fourth Proportional to 584,546.42, 806,657.72 and 329,921.30

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Solution

The fourth proportional to 584,546.42, 806,657.72 and 329,921.30 is: 455,282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,546.42 : 806,657.72 = 329,921.30 : x
  2. Step 2: Convert to fraction form
    584,546.42/806,657.72 = 329,921.30/x
  3. Step 3: Cross multiply
    584,546.42x = 806,657.72 × 329,921.30
  4. Step 4: Simplify right side
    584,546.42x = 266,133,563,637.44
  5. Step 5: Solve for x
    x = 266,133,563,637.44/584,546.42
  6. Step 6: Final answer
    x = 455,282.17

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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.