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Finding the Fourth Proportional to 659,812.40, 989,286.60 and 260,212.40

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Solution

The fourth proportional to 659,812.40, 989,286.60 and 260,212.40 is: 390,148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,812.40 : 989,286.60 = 260,212.40 : x
  2. Step 2: Convert to fraction form
    659,812.40/989,286.60 = 260,212.40/x
  3. Step 3: Cross multiply
    659,812.40x = 989,286.60 × 260,212.40
  4. Step 4: Simplify right side
    659,812.40x = 257,424,640,473.84
  5. Step 5: Solve for x
    x = 257,424,640,473.84/659,812.40
  6. Step 6: Final answer
    x = 390,148.23

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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.