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Finding the Fourth Proportional to 304,060.34, 419,615.10 and 201,909.67

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Solution

The fourth proportional to 304,060.34, 419,615.10 and 201,909.67 is: 278,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,060.34 : 419,615.10 = 201,909.67 : x
  2. Step 2: Convert to fraction form
    304,060.34/419,615.10 = 201,909.67/x
  3. Step 3: Cross multiply
    304,060.34x = 419,615.10 × 201,909.67
  4. Step 4: Simplify right side
    304,060.34x = 84,724,346,368.02
  5. Step 5: Solve for x
    x = 84,724,346,368.02/304,060.34
  6. Step 6: Final answer
    x = 278,643.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.