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Finding the Fourth Proportional to 384,394.60, 576,647.02 and 118,177.46

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Solution

The fourth proportional to 384,394.60, 576,647.02 and 118,177.46 is: 177,283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,394.60 : 576,647.02 = 118,177.46 : x
  2. Step 2: Convert to fraction form
    384,394.60/576,647.02 = 118,177.46/x
  3. Step 3: Cross multiply
    384,394.60x = 576,647.02 × 118,177.46
  4. Step 4: Simplify right side
    384,394.60x = 68,146,680,140.17
  5. Step 5: Solve for x
    x = 68,146,680,140.17/384,394.60
  6. Step 6: Final answer
    x = 177,283.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.