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Finding the Fourth Proportional to 319,181.64, 440,470.54 and 175,944.08

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Solution

The fourth proportional to 319,181.64, 440,470.54 and 175,944.08 is: 242,802.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,181.64 : 440,470.54 = 175,944.08 : x
  2. Step 2: Convert to fraction form
    319,181.64/440,470.54 = 175,944.08/x
  3. Step 3: Cross multiply
    319,181.64x = 440,470.54 × 175,944.08
  4. Step 4: Simplify right side
    319,181.64x = 77,498,183,927.40
  5. Step 5: Solve for x
    x = 77,498,183,927.40/319,181.64
  6. Step 6: Final answer
    x = 242,802.76

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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.