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Finding the Fourth Proportional to 407,429.70, 562,226.46 and 226,132.92

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Solution

The fourth proportional to 407,429.70, 562,226.46 and 226,132.92 is: 312,048.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,429.70 : 562,226.46 = 226,132.92 : x
  2. Step 2: Convert to fraction form
    407,429.70/562,226.46 = 226,132.92/x
  3. Step 3: Cross multiply
    407,429.70x = 562,226.46 × 226,132.92
  4. Step 4: Simplify right side
    407,429.70x = 127,137,911,101.06
  5. Step 5: Solve for x
    x = 127,137,911,101.06/407,429.70
  6. Step 6: Final answer
    x = 312,048.71

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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.