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Finding the Fourth Proportional to 295,424.46, 407,546.37 and 214,816.50

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Solution

The fourth proportional to 295,424.46, 407,546.37 and 214,816.50 is: 296,345.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,424.46 : 407,546.37 = 214,816.50 : x
  2. Step 2: Convert to fraction form
    295,424.46/407,546.37 = 214,816.50/x
  3. Step 3: Cross multiply
    295,424.46x = 407,546.37 × 214,816.50
  4. Step 4: Simplify right side
    295,424.46x = 87,547,684,791.11
  5. Step 5: Solve for x
    x = 87,547,684,791.11/295,424.46
  6. Step 6: Final answer
    x = 296,345.42

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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.