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Finding the Fourth Proportional to 393,258, 589,889.24 and 97,770

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Solution

The fourth proportional to 393,258, 589,889.24 and 97,770 is: 146,655.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,258 : 589,889.24 = 97,770 : x
  2. Step 2: Convert to fraction form
    393,258/589,889.24 = 97,770/x
  3. Step 3: Cross multiply
    393,258x = 589,889.24 × 97,770
  4. Step 4: Simplify right side
    393,258x = 57,673,470,994.80
  5. Step 5: Solve for x
    x = 57,673,470,994.80/393,258
  6. Step 6: Final answer
    x = 146,655.56

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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.