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Finding the Fourth Proportional to 320,973.71, 442,938.29 and 177,730.67

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Solution

The fourth proportional to 320,973.71, 442,938.29 and 177,730.67 is: 245,265.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,973.71 : 442,938.29 = 177,730.67 : x
  2. Step 2: Convert to fraction form
    320,973.71/442,938.29 = 177,730.67/x
  3. Step 3: Cross multiply
    320,973.71x = 442,938.29 × 177,730.67
  4. Step 4: Simplify right side
    320,973.71x = 78,723,719,050.35
  5. Step 5: Solve for x
    x = 78,723,719,050.35/320,973.71
  6. Step 6: Final answer
    x = 245,265.32

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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.