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Finding the Fourth Proportional to 314,488.66, 433,880.39 and 178,443.82

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Solution

The fourth proportional to 314,488.66, 433,880.39 and 178,443.82 is: 246,187.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,488.66 : 433,880.39 = 178,443.82 : x
  2. Step 2: Convert to fraction form
    314,488.66/433,880.39 = 178,443.82/x
  3. Step 3: Cross multiply
    314,488.66x = 433,880.39 × 178,443.82
  4. Step 4: Simplify right side
    314,488.66x = 77,423,274,214.69
  5. Step 5: Solve for x
    x = 77,423,274,214.69/314,488.66
  6. Step 6: Final answer
    x = 246,187.81

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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.