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Finding the Fourth Proportional to 308,258.96, 462,404.48 and 97,913.36

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Solution

The fourth proportional to 308,258.96, 462,404.48 and 97,913.36 is: 146,875.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,258.96 : 462,404.48 = 97,913.36 : x
  2. Step 2: Convert to fraction form
    308,258.96/462,404.48 = 97,913.36/x
  3. Step 3: Cross multiply
    308,258.96x = 462,404.48 × 97,913.36
  4. Step 4: Simplify right side
    308,258.96x = 45,275,576,315.85
  5. Step 5: Solve for x
    x = 45,275,576,315.85/308,258.96
  6. Step 6: Final answer
    x = 146,875.13

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Why These Related Problems?

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