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Finding the Fourth Proportional to 524,399.28, 723,692.61 and 294,967.28

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Solution

The fourth proportional to 524,399.28, 723,692.61 and 294,967.28 is: 407,066.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,399.28 : 723,692.61 = 294,967.28 : x
  2. Step 2: Convert to fraction form
    524,399.28/723,692.61 = 294,967.28/x
  3. Step 3: Cross multiply
    524,399.28x = 723,692.61 × 294,967.28
  4. Step 4: Simplify right side
    524,399.28x = 213,465,637,109.34
  5. Step 5: Solve for x
    x = 213,465,637,109.34/524,399.28
  6. Step 6: Final answer
    x = 407,066.99

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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.