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Finding the Fourth Proportional to 314,187.68, 433,438.08 and 212,180

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Solution

The fourth proportional to 314,187.68, 433,438.08 and 212,180 is: 292,713.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,187.68 : 433,438.08 = 212,180 : x
  2. Step 2: Convert to fraction form
    314,187.68/433,438.08 = 212,180/x
  3. Step 3: Cross multiply
    314,187.68x = 433,438.08 × 212,180
  4. Step 4: Simplify right side
    314,187.68x = 91,966,891,814.40
  5. Step 5: Solve for x
    x = 91,966,891,814.40/314,187.68
  6. Step 6: Final answer
    x = 292,713.23

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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.