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Finding the Fourth Proportional to 464,683.60, 696,619.43 and 180,178.13

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Solution

The fourth proportional to 464,683.60, 696,619.43 and 180,178.13 is: 270,109.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,683.60 : 696,619.43 = 180,178.13 : x
  2. Step 2: Convert to fraction form
    464,683.60/696,619.43 = 180,178.13/x
  3. Step 3: Cross multiply
    464,683.60x = 696,619.43 × 180,178.13
  4. Step 4: Simplify right side
    464,683.60x = 125,515,587,510.17
  5. Step 5: Solve for x
    x = 125,515,587,510.17/464,683.60
  6. Step 6: Final answer
    x = 270,109.79

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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.