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Finding the Fourth Proportional to 407,834.74, 562,793.70 and 226,559.26

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Solution

The fourth proportional to 407,834.74, 562,793.70 and 226,559.26 is: 312,641.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,834.74 : 562,793.70 = 226,559.26 : x
  2. Step 2: Convert to fraction form
    407,834.74/562,793.70 = 226,559.26/x
  3. Step 3: Cross multiply
    407,834.74x = 562,793.70 × 226,559.26
  4. Step 4: Simplify right side
    407,834.74x = 127,506,124,204.66
  5. Step 5: Solve for x
    x = 127,506,124,204.66/407,834.74
  6. Step 6: Final answer
    x = 312,641.65

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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.