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Finding the Fourth Proportional to 432,833.10, 649,249.65 and 401,340.30

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Solution

The fourth proportional to 432,833.10, 649,249.65 and 401,340.30 is: 602,010.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,833.10 : 649,249.65 = 401,340.30 : x
  2. Step 2: Convert to fraction form
    432,833.10/649,249.65 = 401,340.30/x
  3. Step 3: Cross multiply
    432,833.10x = 649,249.65 × 401,340.30
  4. Step 4: Simplify right side
    432,833.10x = 260,570,049,305.90
  5. Step 5: Solve for x
    x = 260,570,049,305.90/432,833.10
  6. Step 6: Final answer
    x = 602,010.45

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.