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Finding the Fourth Proportional to 314,414.11, 473,739.66 and 259,484.56

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Solution

The fourth proportional to 314,414.11, 473,739.66 and 259,484.56 is: 390,975.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,414.11 : 473,739.66 = 259,484.56 : x
  2. Step 2: Convert to fraction form
    314,414.11/473,739.66 = 259,484.56/x
  3. Step 3: Cross multiply
    314,414.11x = 473,739.66 × 259,484.56
  4. Step 4: Simplify right side
    314,414.11x = 122,928,129,439.89
  5. Step 5: Solve for x
    x = 122,928,129,439.89/314,414.11
  6. Step 6: Final answer
    x = 390,975.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.