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Finding the Fourth Proportional to 393,054, 589,584.84 and 97,566

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Solution

The fourth proportional to 393,054, 589,584.84 and 97,566 is: 146,349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,054 : 589,584.84 = 97,566 : x
  2. Step 2: Convert to fraction form
    393,054/589,584.84 = 97,566/x
  3. Step 3: Cross multiply
    393,054x = 589,584.84 × 97,566
  4. Step 4: Simplify right side
    393,054x = 57,523,434,499.44
  5. Step 5: Solve for x
    x = 57,523,434,499.44/393,054
  6. Step 6: Final answer
    x = 146,349.95

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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.