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Finding the Fourth Proportional to 393,269.90, 589,904.85 and 156,782.30

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Solution

The fourth proportional to 393,269.90, 589,904.85 and 156,782.30 is: 235,173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,269.90 : 589,904.85 = 156,782.30 : x
  2. Step 2: Convert to fraction form
    393,269.90/589,904.85 = 156,782.30/x
  3. Step 3: Cross multiply
    393,269.90x = 589,904.85 × 156,782.30
  4. Step 4: Simplify right side
    393,269.90x = 92,486,639,164.16
  5. Step 5: Solve for x
    x = 92,486,639,164.16/393,269.90
  6. Step 6: Final answer
    x = 235,173.45

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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.