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Finding the Fourth Proportional to 402,193.44, 603,367.92 and 152,856

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Solution

The fourth proportional to 402,193.44, 603,367.92 and 152,856 is: 229,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,193.44 : 603,367.92 = 152,856 : x
  2. Step 2: Convert to fraction form
    402,193.44/603,367.92 = 152,856/x
  3. Step 3: Cross multiply
    402,193.44x = 603,367.92 × 152,856
  4. Step 4: Simplify right side
    402,193.44x = 92,228,406,779.52
  5. Step 5: Solve for x
    x = 92,228,406,779.52/402,193.44
  6. Step 6: Final answer
    x = 229,313.55

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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.