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Finding the Fourth Proportional to 407,462.30, 562,269.85 and 226,159.97

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Solution

The fourth proportional to 407,462.30, 562,269.85 and 226,159.97 is: 312,085.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,462.30 : 562,269.85 = 226,159.97 : x
  2. Step 2: Convert to fraction form
    407,462.30/562,269.85 = 226,159.97/x
  3. Step 3: Cross multiply
    407,462.30x = 562,269.85 × 226,159.97
  4. Step 4: Simplify right side
    407,462.30x = 127,162,931,139.67
  5. Step 5: Solve for x
    x = 127,162,931,139.67/407,462.30
  6. Step 6: Final answer
    x = 312,085.14

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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.