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Finding the Fourth Proportional to 417,656.10, 576,367.75 and 236,368.38

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Solution

The fourth proportional to 417,656.10, 576,367.75 and 236,368.38 is: 326,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,656.10 : 576,367.75 = 236,368.38 : x
  2. Step 2: Convert to fraction form
    417,656.10/576,367.75 = 236,368.38/x
  3. Step 3: Cross multiply
    417,656.10x = 576,367.75 × 236,368.38
  4. Step 4: Simplify right side
    417,656.10x = 136,235,108,599.45
  5. Step 5: Solve for x
    x = 136,235,108,599.45/417,656.10
  6. Step 6: Final answer
    x = 326,189.68

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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.