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Finding the Fourth Proportional to 348,718.74, 523,000.27 and 161,705.94

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Solution

The fourth proportional to 348,718.74, 523,000.27 and 161,705.94 is: 242,522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,718.74 : 523,000.27 = 161,705.94 : x
  2. Step 2: Convert to fraction form
    348,718.74/523,000.27 = 161,705.94/x
  3. Step 3: Cross multiply
    348,718.74x = 523,000.27 × 161,705.94
  4. Step 4: Simplify right side
    348,718.74x = 84,572,250,280.60
  5. Step 5: Solve for x
    x = 84,572,250,280.60/348,718.74
  6. Step 6: Final answer
    x = 242,522.81

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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.