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Finding the Fourth Proportional to 295,179, 407,378.37 and 180,524.70

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Solution

The fourth proportional to 295,179, 407,378.37 and 180,524.70 is: 249,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,179 : 407,378.37 = 180,524.70 : x
  2. Step 2: Convert to fraction form
    295,179/407,378.37 = 180,524.70/x
  3. Step 3: Cross multiply
    295,179x = 407,378.37 × 180,524.70
  4. Step 4: Simplify right side
    295,179x = 73,541,858,030.74
  5. Step 5: Solve for x
    x = 73,541,858,030.74/295,179
  6. Step 6: Final answer
    x = 249,143.26

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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.