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Finding the Fourth Proportional to 228,262.86, 342,437.32 and 70,454.41

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Solution

The fourth proportional to 228,262.86, 342,437.32 and 70,454.41 is: 105,694.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,262.86 : 342,437.32 = 70,454.41 : x
  2. Step 2: Convert to fraction form
    228,262.86/342,437.32 = 70,454.41/x
  3. Step 3: Cross multiply
    228,262.86x = 342,437.32 × 70,454.41
  4. Step 4: Simplify right side
    228,262.86x = 24,126,218,574.56
  5. Step 5: Solve for x
    x = 24,126,218,574.56/228,262.86
  6. Step 6: Final answer
    x = 105,694.89

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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.