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Finding the Fourth Proportional to 280,814.68, 387,784.38 and 180,389.08

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Solution

The fourth proportional to 280,814.68, 387,784.38 and 180,389.08 is: 249,104.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,814.68 : 387,784.38 = 180,389.08 : x
  2. Step 2: Convert to fraction form
    280,814.68/387,784.38 = 180,389.08/x
  3. Step 3: Cross multiply
    280,814.68x = 387,784.38 × 180,389.08
  4. Step 4: Simplify right side
    280,814.68x = 69,952,067,546.57
  5. Step 5: Solve for x
    x = 69,952,067,546.57/280,814.68
  6. Step 6: Final answer
    x = 249,104.03

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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.