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Finding the Fourth Proportional to 402,246.80, 603,501.44 and 191,857.40

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Solution

The fourth proportional to 402,246.80, 603,501.44 and 191,857.40 is: 287,848.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,246.80 : 603,501.44 = 191,857.40 : x
  2. Step 2: Convert to fraction form
    402,246.80/603,501.44 = 191,857.40/x
  3. Step 3: Cross multiply
    402,246.80x = 603,501.44 × 191,857.40
  4. Step 4: Simplify right side
    402,246.80x = 115,786,217,174.66
  5. Step 5: Solve for x
    x = 115,786,217,174.66/402,246.80
  6. Step 6: Final answer
    x = 287,848.70

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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.