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Finding the Fourth Proportional to 294,784.76, 406,764.92 and 167,435.76

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Solution

The fourth proportional to 294,784.76, 406,764.92 and 167,435.76 is: 231,039.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,784.76 : 406,764.92 = 167,435.76 : x
  2. Step 2: Convert to fraction form
    294,784.76/406,764.92 = 167,435.76/x
  3. Step 3: Cross multiply
    294,784.76x = 406,764.92 × 167,435.76
  4. Step 4: Simplify right side
    294,784.76x = 68,106,993,521.54
  5. Step 5: Solve for x
    x = 68,106,993,521.54/294,784.76
  6. Step 6: Final answer
    x = 231,039.74

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1.5x scale

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.