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Finding the Fourth Proportional to 319,068.64, 440,317.68 and 175,833.82

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Solution

The fourth proportional to 319,068.64, 440,317.68 and 175,833.82 is: 242,652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,068.64 : 440,317.68 = 175,833.82 : x
  2. Step 2: Convert to fraction form
    319,068.64/440,317.68 = 175,833.82/x
  3. Step 3: Cross multiply
    319,068.64x = 440,317.68 × 175,833.82
  4. Step 4: Simplify right side
    319,068.64x = 77,422,739,687.94
  5. Step 5: Solve for x
    x = 77,422,739,687.94/319,068.64
  6. Step 6: Final answer
    x = 242,652.30

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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.