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Finding the Fourth Proportional to 524,039.56, 723,084.49 and 294,565.01

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Solution

The fourth proportional to 524,039.56, 723,084.49 and 294,565.01 is: 406,449.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,039.56 : 723,084.49 = 294,565.01 : x
  2. Step 2: Convert to fraction form
    524,039.56/723,084.49 = 294,565.01/x
  3. Step 3: Cross multiply
    524,039.56x = 723,084.49 × 294,565.01
  4. Step 4: Simplify right side
    524,039.56x = 212,995,388,554.87
  5. Step 5: Solve for x
    x = 212,995,388,554.87/524,039.56
  6. Step 6: Final answer
    x = 406,449.06

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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.