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Finding the Fourth Proportional to 295,398.48, 407,680.56 and 180,753.60

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Solution

The fourth proportional to 295,398.48, 407,680.56 and 180,753.60 is: 249,458.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,398.48 : 407,680.56 = 180,753.60 : x
  2. Step 2: Convert to fraction form
    295,398.48/407,680.56 = 180,753.60/x
  3. Step 3: Cross multiply
    295,398.48x = 407,680.56 × 180,753.60
  4. Step 4: Simplify right side
    295,398.48x = 73,689,728,870.02
  5. Step 5: Solve for x
    x = 73,689,728,870.02/295,398.48
  6. Step 6: Final answer
    x = 249,458.73

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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.