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Finding the Fourth Proportional to 295,582.30, 407,757.42 and 174,665.08

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Solution

The fourth proportional to 295,582.30, 407,757.42 and 174,665.08 is: 240,951.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,582.30 : 407,757.42 = 174,665.08 : x
  2. Step 2: Convert to fraction form
    295,582.30/407,757.42 = 174,665.08/x
  3. Step 3: Cross multiply
    295,582.30x = 407,757.42 × 174,665.08
  4. Step 4: Simplify right side
    295,582.30x = 71,220,982,384.89
  5. Step 5: Solve for x
    x = 71,220,982,384.89/295,582.30
  6. Step 6: Final answer
    x = 240,951.45

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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.