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Finding the Fourth Proportional to 570,408.72, 787,164.26 and 312,302.39

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Solution

The fourth proportional to 570,408.72, 787,164.26 and 312,302.39 is: 430,977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,408.72 : 787,164.26 = 312,302.39 : x
  2. Step 2: Convert to fraction form
    570,408.72/787,164.26 = 312,302.39/x
  3. Step 3: Cross multiply
    570,408.72x = 787,164.26 × 312,302.39
  4. Step 4: Simplify right side
    570,408.72x = 245,833,279,720.58
  5. Step 5: Solve for x
    x = 245,833,279,720.58/570,408.72
  6. Step 6: Final answer
    x = 430,977.42

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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.