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Finding the Fourth Proportional to 382,165.98, 573,248.16 and 101,683.23

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Solution

The fourth proportional to 382,165.98, 573,248.16 and 101,683.23 is: 152,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,165.98 : 573,248.16 = 101,683.23 : x
  2. Step 2: Convert to fraction form
    382,165.98/573,248.16 = 101,683.23/x
  3. Step 3: Cross multiply
    382,165.98x = 573,248.16 × 101,683.23
  4. Step 4: Simplify right side
    382,165.98x = 58,289,724,500.36
  5. Step 5: Solve for x
    x = 58,289,724,500.36/382,165.98
  6. Step 6: Final answer
    x = 152,524.63

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1.5x scale

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.