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Finding the Fourth Proportional to 312,190.32, 430,823.70 and 168,950.32

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Solution

The fourth proportional to 312,190.32, 430,823.70 and 168,950.32 is: 233,152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,190.32 : 430,823.70 = 168,950.32 : x
  2. Step 2: Convert to fraction form
    312,190.32/430,823.70 = 168,950.32/x
  3. Step 3: Cross multiply
    312,190.32x = 430,823.70 × 168,950.32
  4. Step 4: Simplify right side
    312,190.32x = 72,787,801,978.58
  5. Step 5: Solve for x
    x = 72,787,801,978.58/312,190.32
  6. Step 6: Final answer
    x = 233,152.01

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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.