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Finding the Fourth Proportional to 563,718.12, 777,821.44 and 334,233

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Solution

The fourth proportional to 563,718.12, 777,821.44 and 334,233 is: 461,176.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,718.12 : 777,821.44 = 334,233 : x
  2. Step 2: Convert to fraction form
    563,718.12/777,821.44 = 334,233/x
  3. Step 3: Cross multiply
    563,718.12x = 777,821.44 × 334,233
  4. Step 4: Simplify right side
    563,718.12x = 259,973,593,355.52
  5. Step 5: Solve for x
    x = 259,973,593,355.52/563,718.12
  6. Step 6: Final answer
    x = 461,176.58

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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.