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Finding the Fourth Proportional to 523,040.80, 784,561.20 and 257,320.30

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Solution

The fourth proportional to 523,040.80, 784,561.20 and 257,320.30 is: 385,980.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,040.80 : 784,561.20 = 257,320.30 : x
  2. Step 2: Convert to fraction form
    523,040.80/784,561.20 = 257,320.30/x
  3. Step 3: Cross multiply
    523,040.80x = 784,561.20 × 257,320.30
  4. Step 4: Simplify right side
    523,040.80x = 201,883,523,352.36
  5. Step 5: Solve for x
    x = 201,883,523,352.36/523,040.80
  6. Step 6: Final answer
    x = 385,980.45

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Similar ratio
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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.