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Finding the Fourth Proportional to 382,191.49, 573,299.30 and 97,883.83

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Solution

The fourth proportional to 382,191.49, 573,299.30 and 97,883.83 is: 146,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,191.49 : 573,299.30 = 97,883.83 : x
  2. Step 2: Convert to fraction form
    382,191.49/573,299.30 = 97,883.83/x
  3. Step 3: Cross multiply
    382,191.49x = 573,299.30 × 97,883.83
  4. Step 4: Simplify right side
    382,191.49x = 56,116,731,220.32
  5. Step 5: Solve for x
    x = 56,116,731,220.32/382,191.49
  6. Step 6: Final answer
    x = 146,828.83

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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.