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Finding the Fourth Proportional to 407,416.42, 562,230.60 and 226,123.69

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Solution

The fourth proportional to 407,416.42, 562,230.60 and 226,123.69 is: 312,048.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,416.42 : 562,230.60 = 226,123.69 : x
  2. Step 2: Convert to fraction form
    407,416.42/562,230.60 = 226,123.69/x
  3. Step 3: Cross multiply
    407,416.42x = 562,230.60 × 226,123.69
  4. Step 4: Simplify right side
    407,416.42x = 127,133,656,707.88
  5. Step 5: Solve for x
    x = 127,133,656,707.88/407,416.42
  6. Step 6: Final answer
    x = 312,048.44

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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.