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Finding the Fourth Proportional to 524,078.88, 723,224.48 and 294,637.16

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Solution

The fourth proportional to 524,078.88, 723,224.48 and 294,637.16 is: 406,596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,078.88 : 723,224.48 = 294,637.16 : x
  2. Step 2: Convert to fraction form
    524,078.88/723,224.48 = 294,637.16/x
  3. Step 3: Cross multiply
    524,078.88x = 723,224.48 × 294,637.16
  4. Step 4: Simplify right side
    524,078.88x = 213,088,801,740.37
  5. Step 5: Solve for x
    x = 213,088,801,740.37/524,078.88
  6. Step 6: Final answer
    x = 406,596.81

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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.