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Finding the Fourth Proportional to 294,497.48, 440,873.56 and 181,815.40

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Solution

The fourth proportional to 294,497.48, 440,873.56 and 181,815.40 is: 272,184.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,497.48 : 440,873.56 = 181,815.40 : x
  2. Step 2: Convert to fraction form
    294,497.48/440,873.56 = 181,815.40/x
  3. Step 3: Cross multiply
    294,497.48x = 440,873.56 × 181,815.40
  4. Step 4: Simplify right side
    294,497.48x = 80,157,602,660.82
  5. Step 5: Solve for x
    x = 80,157,602,660.82/294,497.48
  6. Step 6: Final answer
    x = 272,184.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.