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Finding the Fourth Proportional to 308,341.53, 462,413.88 and 97,930.26

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Solution

The fourth proportional to 308,341.53, 462,413.88 and 97,930.26 is: 146,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,341.53 : 462,413.88 = 97,930.26 : x
  2. Step 2: Convert to fraction form
    308,341.53/462,413.88 = 97,930.26/x
  3. Step 3: Cross multiply
    308,341.53x = 462,413.88 × 97,930.26
  4. Step 4: Simplify right side
    308,341.53x = 45,284,311,496.01
  5. Step 5: Solve for x
    x = 45,284,311,496.01/308,341.53
  6. Step 6: Final answer
    x = 146,864.13

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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.