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Finding the Fourth Proportional to 402,191.94, 603,365.67 and 152,854.50

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Solution

The fourth proportional to 402,191.94, 603,365.67 and 152,854.50 is: 229,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,191.94 : 603,365.67 = 152,854.50 : x
  2. Step 2: Convert to fraction form
    402,191.94/603,365.67 = 152,854.50/x
  3. Step 3: Cross multiply
    402,191.94x = 603,365.67 × 152,854.50
  4. Step 4: Simplify right side
    402,191.94x = 92,227,157,805.02
  5. Step 5: Solve for x
    x = 92,227,157,805.02/402,191.94
  6. Step 6: Final answer
    x = 229,311.30

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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.