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Finding the Fourth Proportional to 314,283.84, 433,734.84 and 178,341.12

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Solution

The fourth proportional to 314,283.84, 433,734.84 and 178,341.12 is: 246,123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,283.84 : 433,734.84 = 178,341.12 : x
  2. Step 2: Convert to fraction form
    314,283.84/433,734.84 = 178,341.12/x
  3. Step 3: Cross multiply
    314,283.84x = 433,734.84 × 178,341.12
  4. Step 4: Simplify right side
    314,283.84x = 77,352,757,148.62
  5. Step 5: Solve for x
    x = 77,352,757,148.62/314,283.84
  6. Step 6: Final answer
    x = 246,123.88

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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.