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Finding the Fourth Proportional to 295,441.87, 407,704.24 and 180,712.08

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Solution

The fourth proportional to 295,441.87, 407,704.24 and 180,712.08 is: 249,379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,441.87 : 407,704.24 = 180,712.08 : x
  2. Step 2: Convert to fraction form
    295,441.87/407,704.24 = 180,712.08/x
  3. Step 3: Cross multiply
    295,441.87x = 407,704.24 × 180,712.08
  4. Step 4: Simplify right side
    295,441.87x = 73,677,081,235.22
  5. Step 5: Solve for x
    x = 73,677,081,235.22/295,441.87
  6. Step 6: Final answer
    x = 249,379.28

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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.