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Finding the Fourth Proportional to 427,420.86, 589,841.98 and 236,434.24

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Solution

The fourth proportional to 427,420.86, 589,841.98 and 236,434.24 is: 326,279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,420.86 : 589,841.98 = 236,434.24 : x
  2. Step 2: Convert to fraction form
    427,420.86/589,841.98 = 236,434.24/x
  3. Step 3: Cross multiply
    427,420.86x = 589,841.98 × 236,434.24
  4. Step 4: Simplify right side
    427,420.86x = 139,458,840,261.40
  5. Step 5: Solve for x
    x = 139,458,840,261.40/427,420.86
  6. Step 6: Final answer
    x = 326,279.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.