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Finding the Fourth Proportional to 295,447.72, 407,712.28 and 180,717.92

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Solution

The fourth proportional to 295,447.72, 407,712.28 and 180,717.92 is: 249,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,447.72 : 407,712.28 = 180,717.92 : x
  2. Step 2: Convert to fraction form
    295,447.72/407,712.28 = 180,717.92/x
  3. Step 3: Cross multiply
    295,447.72x = 407,712.28 × 180,717.92
  4. Step 4: Simplify right side
    295,447.72x = 73,680,915,200.06
  5. Step 5: Solve for x
    x = 73,680,915,200.06/295,447.72
  6. Step 6: Final answer
    x = 249,387.32

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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.