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Finding the Fourth Proportional to 393,253, 589,881.66 and 97,765

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Solution

The fourth proportional to 393,253, 589,881.66 and 97,765 is: 146,648.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,253 : 589,881.66 = 97,765 : x
  2. Step 2: Convert to fraction form
    393,253/589,881.66 = 97,765/x
  3. Step 3: Cross multiply
    393,253x = 589,881.66 × 97,765
  4. Step 4: Simplify right side
    393,253x = 57,669,780,489.90
  5. Step 5: Solve for x
    x = 57,669,780,489.90/393,253
  6. Step 6: Final answer
    x = 146,648.04

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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.