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Finding the Fourth Proportional to 523,097.36, 784,762.32 and 190,673.36

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Solution

The fourth proportional to 523,097.36, 784,762.32 and 190,673.36 is: 286,052.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,097.36 : 784,762.32 = 190,673.36 : x
  2. Step 2: Convert to fraction form
    523,097.36/784,762.32 = 190,673.36/x
  3. Step 3: Cross multiply
    523,097.36x = 784,762.32 × 190,673.36
  4. Step 4: Simplify right side
    523,097.36x = 149,633,268,355.80
  5. Step 5: Solve for x
    x = 149,633,268,355.80/523,097.36
  6. Step 6: Final answer
    x = 286,052.43

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1.5x scale

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.