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Finding the Fourth Proportional to 417,147.32, 575,659.83 and 235,894.84

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Solution

The fourth proportional to 417,147.32, 575,659.83 and 235,894.84 is: 325,532.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,147.32 : 575,659.83 = 235,894.84 : x
  2. Step 2: Convert to fraction form
    417,147.32/575,659.83 = 235,894.84/x
  3. Step 3: Cross multiply
    417,147.32x = 575,659.83 × 235,894.84
  4. Step 4: Simplify right side
    417,147.32x = 135,795,183,492.28
  5. Step 5: Solve for x
    x = 135,795,183,492.28/417,147.32
  6. Step 6: Final answer
    x = 325,532.92

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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.