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Finding the Fourth Proportional to 656,446.25, 984,275.66 and 301,015.01

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Solution

The fourth proportional to 656,446.25, 984,275.66 and 301,015.01 is: 451,341.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,446.25 : 984,275.66 = 301,015.01 : x
  2. Step 2: Convert to fraction form
    656,446.25/984,275.66 = 301,015.01/x
  3. Step 3: Cross multiply
    656,446.25x = 984,275.66 × 301,015.01
  4. Step 4: Simplify right side
    656,446.25x = 296,281,745,263.56
  5. Step 5: Solve for x
    x = 296,281,745,263.56/656,446.25
  6. Step 6: Final answer
    x = 451,341.97

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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.