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Finding the Fourth Proportional to 314,284.68, 433,209.33 and 212,278.14

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Solution

The fourth proportional to 314,284.68, 433,209.33 and 212,278.14 is: 292,603.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,284.68 : 433,209.33 = 212,278.14 : x
  2. Step 2: Convert to fraction form
    314,284.68/433,209.33 = 212,278.14/x
  3. Step 3: Cross multiply
    314,284.68x = 433,209.33 × 212,278.14
  4. Step 4: Simplify right side
    314,284.68x = 91,960,870,803.05
  5. Step 5: Solve for x
    x = 91,960,870,803.05/314,284.68
  6. Step 6: Final answer
    x = 292,603.73

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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.