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Finding the Fourth Proportional to 289,639.76, 399,588.84 and 180,680.69

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Solution

The fourth proportional to 289,639.76, 399,588.84 and 180,680.69 is: 249,268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,639.76 : 399,588.84 = 180,680.69 : x
  2. Step 2: Convert to fraction form
    289,639.76/399,588.84 = 180,680.69/x
  3. Step 3: Cross multiply
    289,639.76x = 399,588.84 × 180,680.69
  4. Step 4: Simplify right side
    289,639.76x = 72,197,986,424.10
  5. Step 5: Solve for x
    x = 72,197,986,424.10/289,639.76
  6. Step 6: Final answer
    x = 249,268.22

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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.