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Finding the Fourth Proportional to 314,825.96, 434,447.12 and 171,582.92

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Solution

The fourth proportional to 314,825.96, 434,447.12 and 171,582.92 is: 236,777.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,825.96 : 434,447.12 = 171,582.92 : x
  2. Step 2: Convert to fraction form
    314,825.96/434,447.12 = 171,582.92/x
  3. Step 3: Cross multiply
    314,825.96x = 434,447.12 × 171,582.92
  4. Step 4: Simplify right side
    314,825.96x = 74,543,705,435.19
  5. Step 5: Solve for x
    x = 74,543,705,435.19/314,825.96
  6. Step 6: Final answer
    x = 236,777.51

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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.