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Finding the Fourth Proportional to 524,080.38, 723,226.55 and 294,638.66

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Solution

The fourth proportional to 524,080.38, 723,226.55 and 294,638.66 is: 406,598.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,080.38 : 723,226.55 = 294,638.66 : x
  2. Step 2: Convert to fraction form
    524,080.38/723,226.55 = 294,638.66/x
  3. Step 3: Cross multiply
    524,080.38x = 723,226.55 × 294,638.66
  4. Step 4: Simplify right side
    524,080.38x = 213,090,496,479.10
  5. Step 5: Solve for x
    x = 213,090,496,479.10/524,080.38
  6. Step 6: Final answer
    x = 406,598.88

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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.