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Finding the Fourth Proportional to 517,448.91, 714,078.41 and 291,094.41

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Solution

The fourth proportional to 517,448.91, 714,078.41 and 291,094.41 is: 401,709.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,448.91 : 714,078.41 = 291,094.41 : x
  2. Step 2: Convert to fraction form
    517,448.91/714,078.41 = 291,094.41/x
  3. Step 3: Cross multiply
    517,448.91x = 714,078.41 × 291,094.41
  4. Step 4: Simplify right side
    517,448.91x = 207,864,233,452.69
  5. Step 5: Solve for x
    x = 207,864,233,452.69/517,448.91
  6. Step 6: Final answer
    x = 401,709.67

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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.