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Finding the Fourth Proportional to 228,430.68, 342,023.94 and 177,653.40

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Solution

The fourth proportional to 228,430.68, 342,023.94 and 177,653.40 is: 265,996.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,430.68 : 342,023.94 = 177,653.40 : x
  2. Step 2: Convert to fraction form
    228,430.68/342,023.94 = 177,653.40/x
  3. Step 3: Cross multiply
    228,430.68x = 342,023.94 × 177,653.40
  4. Step 4: Simplify right side
    228,430.68x = 60,761,715,822.40
  5. Step 5: Solve for x
    x = 60,761,715,822.40/228,430.68
  6. Step 6: Final answer
    x = 265,996.30

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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.