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Finding the Fourth Proportional to 454,781.94, 682,646.10 and 334,974.18

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Solution

The fourth proportional to 454,781.94, 682,646.10 and 334,974.18 is: 502,809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,781.94 : 682,646.10 = 334,974.18 : x
  2. Step 2: Convert to fraction form
    454,781.94/682,646.10 = 334,974.18/x
  3. Step 3: Cross multiply
    454,781.94x = 682,646.10 × 334,974.18
  4. Step 4: Simplify right side
    454,781.94x = 228,668,817,577.70
  5. Step 5: Solve for x
    x = 228,668,817,577.70/454,781.94
  6. Step 6: Final answer
    x = 502,809.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.