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Finding the Fourth Proportional to 407,315.85, 562,106.11 and 226,035.42

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Solution

The fourth proportional to 407,315.85, 562,106.11 and 226,035.42 is: 311,934.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,315.85 : 562,106.11 = 226,035.42 : x
  2. Step 2: Convert to fraction form
    407,315.85/562,106.11 = 226,035.42/x
  3. Step 3: Cross multiply
    407,315.85x = 562,106.11 × 226,035.42
  4. Step 4: Simplify right side
    407,315.85x = 127,055,891,735.28
  5. Step 5: Solve for x
    x = 127,055,891,735.28/407,315.85
  6. Step 6: Final answer
    x = 311,934.56

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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.