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Finding the Fourth Proportional to 291,948.70, 402,883.80 and 164,624.38

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Solution

The fourth proportional to 291,948.70, 402,883.80 and 164,624.38 is: 227,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,948.70 : 402,883.80 = 164,624.38 : x
  2. Step 2: Convert to fraction form
    291,948.70/402,883.80 = 164,624.38/x
  3. Step 3: Cross multiply
    291,948.70x = 402,883.80 × 164,624.38
  4. Step 4: Simplify right side
    291,948.70x = 66,324,495,787.04
  5. Step 5: Solve for x
    x = 66,324,495,787.04/291,948.70
  6. Step 6: Final answer
    x = 227,178.60

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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.