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Finding the Fourth Proportional to 308,576.72, 462,698.76 and 166,498.16

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Solution

The fourth proportional to 308,576.72, 462,698.76 and 166,498.16 is: 249,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,576.72 : 462,698.76 = 166,498.16 : x
  2. Step 2: Convert to fraction form
    308,576.72/462,698.76 = 166,498.16/x
  3. Step 3: Cross multiply
    308,576.72x = 462,698.76 × 166,498.16
  4. Step 4: Simplify right side
    308,576.72x = 77,038,492,174.28
  5. Step 5: Solve for x
    x = 77,038,492,174.28/308,576.72
  6. Step 6: Final answer
    x = 249,657.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.