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Finding the Fourth Proportional to 295,550.35, 407,701.87 and 180,884.57

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Solution

The fourth proportional to 295,550.35, 407,701.87 and 180,884.57 is: 249,524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,550.35 : 407,701.87 = 180,884.57 : x
  2. Step 2: Convert to fraction form
    295,550.35/407,701.87 = 180,884.57/x
  3. Step 3: Cross multiply
    295,550.35x = 407,701.87 × 180,884.57
  4. Step 4: Simplify right side
    295,550.35x = 73,746,974,952.43
  5. Step 5: Solve for x
    x = 73,746,974,952.43/295,550.35
  6. Step 6: Final answer
    x = 249,524.24

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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.