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Finding the Fourth Proportional to 524,082.42, 723,259.38 and 294,711.89

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Solution

The fourth proportional to 524,082.42, 723,259.38 and 294,711.89 is: 406,716.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,082.42 : 723,259.38 = 294,711.89 : x
  2. Step 2: Convert to fraction form
    524,082.42/723,259.38 = 294,711.89/x
  3. Step 3: Cross multiply
    524,082.42x = 723,259.38 × 294,711.89
  4. Step 4: Simplify right side
    524,082.42x = 213,153,138,840.03
  5. Step 5: Solve for x
    x = 213,153,138,840.03/524,082.42
  6. Step 6: Final answer
    x = 406,716.83

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1.5x scale

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.