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Finding the Fourth Proportional to 523,246.50, 784,986.75 and 190,822.50

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Solution

The fourth proportional to 523,246.50, 784,986.75 and 190,822.50 is: 286,276.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,246.50 : 784,986.75 = 190,822.50 : x
  2. Step 2: Convert to fraction form
    523,246.50/784,986.75 = 190,822.50/x
  3. Step 3: Cross multiply
    523,246.50x = 784,986.75 × 190,822.50
  4. Step 4: Simplify right side
    523,246.50x = 149,793,134,101.88
  5. Step 5: Solve for x
    x = 149,793,134,101.88/523,246.50
  6. Step 6: Final answer
    x = 286,276.42

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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.