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Finding the Fourth Proportional to 310,328.73, 465,480.45 and 107,971.16

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Solution

The fourth proportional to 310,328.73, 465,480.45 and 107,971.16 is: 161,952.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,328.73 : 465,480.45 = 107,971.16 : x
  2. Step 2: Convert to fraction form
    310,328.73/465,480.45 = 107,971.16/x
  3. Step 3: Cross multiply
    310,328.73x = 465,480.45 × 107,971.16
  4. Step 4: Simplify right side
    310,328.73x = 50,258,461,816.42
  5. Step 5: Solve for x
    x = 50,258,461,816.42/310,328.73
  6. Step 6: Final answer
    x = 161,952.33

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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.