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Finding the Fourth Proportional to 650,937.40, 976,233.30 and 201,657.40

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Solution

The fourth proportional to 650,937.40, 976,233.30 and 201,657.40 is: 302,432.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,937.40 : 976,233.30 = 201,657.40 : x
  2. Step 2: Convert to fraction form
    650,937.40/976,233.30 = 201,657.40/x
  3. Step 3: Cross multiply
    650,937.40x = 976,233.30 × 201,657.40
  4. Step 4: Simplify right side
    650,937.40x = 196,864,669,071.42
  5. Step 5: Solve for x
    x = 196,864,669,071.42/650,937.40
  6. Step 6: Final answer
    x = 302,432.57

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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.