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Finding the Fourth Proportional to 467,465.88, 701,821.08 and 316,171.20

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Solution

The fourth proportional to 467,465.88, 701,821.08 and 316,171.20 is: 474,677.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,465.88 : 701,821.08 = 316,171.20 : x
  2. Step 2: Convert to fraction form
    467,465.88/701,821.08 = 316,171.20/x
  3. Step 3: Cross multiply
    467,465.88x = 701,821.08 × 316,171.20
  4. Step 4: Simplify right side
    467,465.88x = 221,895,613,048.90
  5. Step 5: Solve for x
    x = 221,895,613,048.90/467,465.88
  6. Step 6: Final answer
    x = 474,677.67

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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.