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Finding the Fourth Proportional to 456,306.59, 684,506.84 and 172,236.42

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Solution

The fourth proportional to 456,306.59, 684,506.84 and 172,236.42 is: 258,372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,306.59 : 684,506.84 = 172,236.42 : x
  2. Step 2: Convert to fraction form
    456,306.59/684,506.84 = 172,236.42/x
  3. Step 3: Cross multiply
    456,306.59x = 684,506.84 × 172,236.42
  4. Step 4: Simplify right side
    456,306.59x = 117,897,006,725.93
  5. Step 5: Solve for x
    x = 117,897,006,725.93/456,306.59
  6. Step 6: Final answer
    x = 258,372.35

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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.