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Finding the Fourth Proportional to 456,099.50, 683,859.42 and 400,052.14

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Solution

The fourth proportional to 456,099.50, 683,859.42 and 400,052.14 is: 599,824.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,099.50 : 683,859.42 = 400,052.14 : x
  2. Step 2: Convert to fraction form
    456,099.50/683,859.42 = 400,052.14/x
  3. Step 3: Cross multiply
    456,099.50x = 683,859.42 × 400,052.14
  4. Step 4: Simplify right side
    456,099.50x = 273,579,424,430.16
  5. Step 5: Solve for x
    x = 273,579,424,430.16/456,099.50
  6. Step 6: Final answer
    x = 599,824.00

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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.