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Finding the Fourth Proportional to 393,254, 589,883.20 and 97,766

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Solution

The fourth proportional to 393,254, 589,883.20 and 97,766 is: 146,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,254 : 589,883.20 = 97,766 : x
  2. Step 2: Convert to fraction form
    393,254/589,883.20 = 97,766/x
  3. Step 3: Cross multiply
    393,254x = 589,883.20 × 97,766
  4. Step 4: Simplify right side
    393,254x = 57,670,520,931.20
  5. Step 5: Solve for x
    x = 57,670,520,931.20/393,254
  6. Step 6: Final answer
    x = 146,649.55

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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.