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Finding the Fourth Proportional to 524,064.60, 723,234.78 and 294,694.08

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Solution

The fourth proportional to 524,064.60, 723,234.78 and 294,694.08 is: 406,692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,064.60 : 723,234.78 = 294,694.08 : x
  2. Step 2: Convert to fraction form
    524,064.60/723,234.78 = 294,694.08/x
  3. Step 3: Cross multiply
    524,064.60x = 723,234.78 × 294,694.08
  4. Step 4: Simplify right side
    524,064.60x = 213,133,008,116.10
  5. Step 5: Solve for x
    x = 213,133,008,116.10/524,064.60
  6. Step 6: Final answer
    x = 406,692.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.