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Finding the Fourth Proportional to 320,654.45, 442,496.30 and 175,459.63

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Solution

The fourth proportional to 320,654.45, 442,496.30 and 175,459.63 is: 242,130.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,654.45 : 442,496.30 = 175,459.63 : x
  2. Step 2: Convert to fraction form
    320,654.45/442,496.30 = 175,459.63/x
  3. Step 3: Cross multiply
    320,654.45x = 442,496.30 × 175,459.63
  4. Step 4: Simplify right side
    320,654.45x = 77,640,236,406.78
  5. Step 5: Solve for x
    x = 77,640,236,406.78/320,654.45
  6. Step 6: Final answer
    x = 242,130.55

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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.