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Finding the Fourth Proportional to 402,193.94, 603,368.67 and 152,856.50

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Solution

The fourth proportional to 402,193.94, 603,368.67 and 152,856.50 is: 229,314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,193.94 : 603,368.67 = 152,856.50 : x
  2. Step 2: Convert to fraction form
    402,193.94/603,368.67 = 152,856.50/x
  3. Step 3: Cross multiply
    402,193.94x = 603,368.67 × 152,856.50
  4. Step 4: Simplify right side
    402,193.94x = 92,228,823,105.86
  5. Step 5: Solve for x
    x = 92,228,823,105.86/402,193.94
  6. Step 6: Final answer
    x = 229,314.30

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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.