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Finding the Fourth Proportional to 219,376.40, 329,064.60 and 160,327.40

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Solution

The fourth proportional to 219,376.40, 329,064.60 and 160,327.40 is: 240,491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,376.40 : 329,064.60 = 160,327.40 : x
  2. Step 2: Convert to fraction form
    219,376.40/329,064.60 = 160,327.40/x
  3. Step 3: Cross multiply
    219,376.40x = 329,064.60 × 160,327.40
  4. Step 4: Simplify right side
    219,376.40x = 52,758,071,750.04
  5. Step 5: Solve for x
    x = 52,758,071,750.04/219,376.40
  6. Step 6: Final answer
    x = 240,491.10

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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.