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Finding the Fourth Proportional to 407,405.19, 562,202.49 and 226,124.76

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Solution

The fourth proportional to 407,405.19, 562,202.49 and 226,124.76 is: 312,042.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,405.19 : 562,202.49 = 226,124.76 : x
  2. Step 2: Convert to fraction form
    407,405.19/562,202.49 = 226,124.76/x
  3. Step 3: Cross multiply
    407,405.19x = 562,202.49 × 226,124.76
  4. Step 4: Simplify right side
    407,405.19x = 127,127,903,122.65
  5. Step 5: Solve for x
    x = 127,127,903,122.65/407,405.19
  6. Step 6: Final answer
    x = 312,042.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.