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Finding the Fourth Proportional to 524,078.79, 723,254.37 and 294,708.27

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Solution

The fourth proportional to 524,078.79, 723,254.37 and 294,708.27 is: 406,711.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,078.79 : 723,254.37 = 294,708.27 : x
  2. Step 2: Convert to fraction form
    524,078.79/723,254.37 = 294,708.27/x
  3. Step 3: Cross multiply
    524,078.79x = 723,254.37 × 294,708.27
  4. Step 4: Simplify right side
    524,078.79x = 213,149,044,152.64
  5. Step 5: Solve for x
    x = 213,149,044,152.64/524,078.79
  6. Step 6: Final answer
    x = 406,711.83

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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.