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Finding the Fourth Proportional to 417,700.72, 576,420.78 and 236,447.02

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Solution

The fourth proportional to 417,700.72, 576,420.78 and 236,447.02 is: 326,293.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,700.72 : 576,420.78 = 236,447.02 : x
  2. Step 2: Convert to fraction form
    417,700.72/576,420.78 = 236,447.02/x
  3. Step 3: Cross multiply
    417,700.72x = 576,420.78 × 236,447.02
  4. Step 4: Simplify right side
    417,700.72x = 136,292,975,697.08
  5. Step 5: Solve for x
    x = 136,292,975,697.08/417,700.72
  6. Step 6: Final answer
    x = 326,293.37

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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.