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Finding the Fourth Proportional to 347,887.84, 480,078.96 and 194,925.40

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Solution

The fourth proportional to 347,887.84, 480,078.96 and 194,925.40 is: 268,993.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,887.84 : 480,078.96 = 194,925.40 : x
  2. Step 2: Convert to fraction form
    347,887.84/480,078.96 = 194,925.40/x
  3. Step 3: Cross multiply
    347,887.84x = 480,078.96 × 194,925.40
  4. Step 4: Simplify right side
    347,887.84x = 93,579,583,309.58
  5. Step 5: Solve for x
    x = 93,579,583,309.58/347,887.84
  6. Step 6: Final answer
    x = 268,993.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.