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Finding the Fourth Proportional to 314,995.92, 434,684.90 and 171,758.76

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Solution

The fourth proportional to 314,995.92, 434,684.90 and 171,758.76 is: 237,021.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,995.92 : 434,684.90 = 171,758.76 : x
  2. Step 2: Convert to fraction form
    314,995.92/434,684.90 = 171,758.76/x
  3. Step 3: Cross multiply
    314,995.92x = 434,684.90 × 171,758.76
  4. Step 4: Simplify right side
    314,995.92x = 74,660,939,414.72
  5. Step 5: Solve for x
    x = 74,660,939,414.72/314,995.92
  6. Step 6: Final answer
    x = 237,021.93

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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.