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Finding the Fourth Proportional to 384,522.35, 576,471.27 and 160,050.81

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Solution

The fourth proportional to 384,522.35, 576,471.27 and 160,050.81 is: 239,946.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,522.35 : 576,471.27 = 160,050.81 : x
  2. Step 2: Convert to fraction form
    384,522.35/576,471.27 = 160,050.81/x
  3. Step 3: Cross multiply
    384,522.35x = 576,471.27 × 160,050.81
  4. Step 4: Simplify right side
    384,522.35x = 92,264,693,705.23
  5. Step 5: Solve for x
    x = 92,264,693,705.23/384,522.35
  6. Step 6: Final answer
    x = 239,946.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.