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Finding the Fourth Proportional to 415,408.40, 623,063.19 and 134,925.38

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Solution

The fourth proportional to 415,408.40, 623,063.19 and 134,925.38 is: 202,372.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,408.40 : 623,063.19 = 134,925.38 : x
  2. Step 2: Convert to fraction form
    415,408.40/623,063.19 = 134,925.38/x
  3. Step 3: Cross multiply
    415,408.40x = 623,063.19 × 134,925.38
  4. Step 4: Simplify right side
    415,408.40x = 84,067,037,674.76
  5. Step 5: Solve for x
    x = 84,067,037,674.76/415,408.40
  6. Step 6: Final answer
    x = 202,372.02

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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.