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Finding the Fourth Proportional to 464,683.34, 696,619.05 and 180,177.88

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Solution

The fourth proportional to 464,683.34, 696,619.05 and 180,177.88 is: 270,109.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,683.34 : 696,619.05 = 180,177.88 : x
  2. Step 2: Convert to fraction form
    464,683.34/696,619.05 = 180,177.88/x
  3. Step 3: Cross multiply
    464,683.34x = 696,619.05 × 180,177.88
  4. Step 4: Simplify right side
    464,683.34x = 125,515,345,143.06
  5. Step 5: Solve for x
    x = 125,515,345,143.06/464,683.34
  6. Step 6: Final answer
    x = 270,109.41

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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.