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Finding the Fourth Proportional to 524,023.20, 785,354.40 and 242,942.40

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Solution

The fourth proportional to 524,023.20, 785,354.40 and 242,942.40 is: 364,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,023.20 : 785,354.40 = 242,942.40 : x
  2. Step 2: Convert to fraction form
    524,023.20/785,354.40 = 242,942.40/x
  3. Step 3: Cross multiply
    524,023.20x = 785,354.40 × 242,942.40
  4. Step 4: Simplify right side
    524,023.20x = 190,795,882,786.56
  5. Step 5: Solve for x
    x = 190,795,882,786.56/524,023.20
  6. Step 6: Final answer
    x = 364,098.16

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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.