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Finding the Fourth Proportional to 523,107.36, 784,323.36 and 223,783.20

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Solution

The fourth proportional to 523,107.36, 784,323.36 and 223,783.20 is: 335,530.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,107.36 : 784,323.36 = 223,783.20 : x
  2. Step 2: Convert to fraction form
    523,107.36/784,323.36 = 223,783.20/x
  3. Step 3: Cross multiply
    523,107.36x = 784,323.36 × 223,783.20
  4. Step 4: Simplify right side
    523,107.36x = 175,518,391,335.55
  5. Step 5: Solve for x
    x = 175,518,391,335.55/523,107.36
  6. Step 6: Final answer
    x = 335,530.34

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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.