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Finding the Fourth Proportional to 407,716.24, 562,667.12 and 226,429

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Solution

The fourth proportional to 407,716.24, 562,667.12 and 226,429 is: 312,482.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,716.24 : 562,667.12 = 226,429 : x
  2. Step 2: Convert to fraction form
    407,716.24/562,667.12 = 226,429/x
  3. Step 3: Cross multiply
    407,716.24x = 562,667.12 × 226,429
  4. Step 4: Simplify right side
    407,716.24x = 127,404,153,314.48
  5. Step 5: Solve for x
    x = 127,404,153,314.48/407,716.24
  6. Step 6: Final answer
    x = 312,482.41

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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.