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Finding the Fourth Proportional to 228,688.71, 343,347.24 and 116,444.31

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Solution

The fourth proportional to 228,688.71, 343,347.24 and 116,444.31 is: 174,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,688.71 : 343,347.24 = 116,444.31 : x
  2. Step 2: Convert to fraction form
    228,688.71/343,347.24 = 116,444.31/x
  3. Step 3: Cross multiply
    228,688.71x = 343,347.24 × 116,444.31
  4. Step 4: Simplify right side
    228,688.71x = 39,980,832,452.20
  5. Step 5: Solve for x
    x = 39,980,832,452.20/228,688.71
  6. Step 6: Final answer
    x = 174,826.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.