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Finding the Fourth Proportional to 602,750, 831,833.96 and 334,478

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Solution

The fourth proportional to 602,750, 831,833.96 and 334,478 is: 461,601.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,750 : 831,833.96 = 334,478 : x
  2. Step 2: Convert to fraction form
    602,750/831,833.96 = 334,478/x
  3. Step 3: Cross multiply
    602,750x = 831,833.96 × 334,478
  4. Step 4: Simplify right side
    602,750x = 278,230,159,272.88
  5. Step 5: Solve for x
    x = 278,230,159,272.88/602,750
  6. Step 6: Final answer
    x = 461,601.26

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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.