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Finding the Fourth Proportional to 407,428.28, 562,242.56 and 226,129.58

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Solution

The fourth proportional to 407,428.28, 562,242.56 and 226,129.58 is: 312,054.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,428.28 : 562,242.56 = 226,129.58 : x
  2. Step 2: Convert to fraction form
    407,428.28/562,242.56 = 226,129.58/x
  3. Step 3: Cross multiply
    407,428.28x = 562,242.56 × 226,129.58
  4. Step 4: Simplify right side
    407,428.28x = 127,139,673,950.93
  5. Step 5: Solve for x
    x = 127,139,673,950.93/407,428.28
  6. Step 6: Final answer
    x = 312,054.12

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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.