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Finding the Fourth Proportional to 320,678.55, 442,529.46 and 175,483.68

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Solution

The fourth proportional to 320,678.55, 442,529.46 and 175,483.68 is: 242,163.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,678.55 : 442,529.46 = 175,483.68 : x
  2. Step 2: Convert to fraction form
    320,678.55/442,529.46 = 175,483.68/x
  3. Step 3: Cross multiply
    320,678.55x = 442,529.46 × 175,483.68
  4. Step 4: Simplify right side
    320,678.55x = 77,656,698,149.21
  5. Step 5: Solve for x
    x = 77,656,698,149.21/320,678.55
  6. Step 6: Final answer
    x = 242,163.68

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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.