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Finding the Fourth Proportional to 563,716.12, 777,818.68 and 334,231

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Solution

The fourth proportional to 563,716.12, 777,818.68 and 334,231 is: 461,173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,716.12 : 777,818.68 = 334,231 : x
  2. Step 2: Convert to fraction form
    563,716.12/777,818.68 = 334,231/x
  3. Step 3: Cross multiply
    563,716.12x = 777,818.68 × 334,231
  4. Step 4: Simplify right side
    563,716.12x = 259,971,115,235.08
  5. Step 5: Solve for x
    x = 259,971,115,235.08/563,716.12
  6. Step 6: Final answer
    x = 461,173.82

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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.