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Finding the Fourth Proportional to 551,683.48, 827,523.98 and 146,875.80

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Solution

The fourth proportional to 551,683.48, 827,523.98 and 146,875.80 is: 220,313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,683.48 : 827,523.98 = 146,875.80 : x
  2. Step 2: Convert to fraction form
    551,683.48/827,523.98 = 146,875.80/x
  3. Step 3: Cross multiply
    551,683.48x = 827,523.98 × 146,875.80
  4. Step 4: Simplify right side
    551,683.48x = 121,543,246,581.68
  5. Step 5: Solve for x
    x = 121,543,246,581.68/551,683.48
  6. Step 6: Final answer
    x = 220,313.37

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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.