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Finding the Fourth Proportional to 454,774.47, 682,634.84 and 334,966.71

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Solution

The fourth proportional to 454,774.47, 682,634.84 and 334,966.71 is: 502,798.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,774.47 : 682,634.84 = 334,966.71 : x
  2. Step 2: Convert to fraction form
    454,774.47/682,634.84 = 334,966.71/x
  3. Step 3: Cross multiply
    454,774.47x = 682,634.84 × 334,966.71
  4. Step 4: Simplify right side
    454,774.47x = 228,659,946,486.18
  5. Step 5: Solve for x
    x = 228,659,946,486.18/454,774.47
  6. Step 6: Final answer
    x = 502,798.56

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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.