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Finding the Fourth Proportional to 407,876.96, 562,870.79 and 226,584.22

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Solution

The fourth proportional to 407,876.96, 562,870.79 and 226,584.22 is: 312,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,876.96 : 562,870.79 = 226,584.22 : x
  2. Step 2: Convert to fraction form
    407,876.96/562,870.79 = 226,584.22/x
  3. Step 3: Cross multiply
    407,876.96x = 562,870.79 × 226,584.22
  4. Step 4: Simplify right side
    407,876.96x = 127,537,638,912.93
  5. Step 5: Solve for x
    x = 127,537,638,912.93/407,876.96
  6. Step 6: Final answer
    x = 312,686.55

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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.