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Finding the Fourth Proportional to 475,056.42, 712,650.24 and 159,603.54

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Solution

The fourth proportional to 475,056.42, 712,650.24 and 159,603.54 is: 239,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,056.42 : 712,650.24 = 159,603.54 : x
  2. Step 2: Convert to fraction form
    475,056.42/712,650.24 = 159,603.54/x
  3. Step 3: Cross multiply
    475,056.42x = 712,650.24 × 159,603.54
  4. Step 4: Simplify right side
    475,056.42x = 113,741,501,085.85
  5. Step 5: Solve for x
    x = 113,741,501,085.85/475,056.42
  6. Step 6: Final answer
    x = 239,427.35

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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.