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Finding the Fourth Proportional to 320,869.64, 442,805.38 and 175,673

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Solution

The fourth proportional to 320,869.64, 442,805.38 and 175,673 is: 242,431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,869.64 : 442,805.38 = 175,673 : x
  2. Step 2: Convert to fraction form
    320,869.64/442,805.38 = 175,673/x
  3. Step 3: Cross multiply
    320,869.64x = 442,805.38 × 175,673
  4. Step 4: Simplify right side
    320,869.64x = 77,788,949,520.74
  5. Step 5: Solve for x
    x = 77,788,949,520.74/320,869.64
  6. Step 6: Final answer
    x = 242,431.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.