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Finding the Fourth Proportional to 522,812.70, 784,328.40 and 167,862.60

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Solution

The fourth proportional to 522,812.70, 784,328.40 and 167,862.60 is: 251,829.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,812.70 : 784,328.40 = 167,862.60 : x
  2. Step 2: Convert to fraction form
    522,812.70/784,328.40 = 167,862.60/x
  3. Step 3: Cross multiply
    522,812.70x = 784,328.40 × 167,862.60
  4. Step 4: Simplify right side
    522,812.70x = 131,659,404,477.84
  5. Step 5: Solve for x
    x = 131,659,404,477.84/522,812.70
  6. Step 6: Final answer
    x = 251,829.01

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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.