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Finding the Fourth Proportional to 522,967.60, 784,969.80 and 257,028.40

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Solution

The fourth proportional to 522,967.60, 784,969.80 and 257,028.40 is: 385,797.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,967.60 : 784,969.80 = 257,028.40 : x
  2. Step 2: Convert to fraction form
    522,967.60/784,969.80 = 257,028.40/x
  3. Step 3: Cross multiply
    522,967.60x = 784,969.80 × 257,028.40
  4. Step 4: Simplify right side
    522,967.60x = 201,759,531,742.32
  5. Step 5: Solve for x
    x = 201,759,531,742.32/522,967.60
  6. Step 6: Final answer
    x = 385,797.38

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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.