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Finding the Fourth Proportional to 367,971.48, 507,847.59 and 224,701.38

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Solution

The fourth proportional to 367,971.48, 507,847.59 and 224,701.38 is: 310,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,971.48 : 507,847.59 = 224,701.38 : x
  2. Step 2: Convert to fraction form
    367,971.48/507,847.59 = 224,701.38/x
  3. Step 3: Cross multiply
    367,971.48x = 507,847.59 × 224,701.38
  4. Step 4: Simplify right side
    367,971.48x = 114,114,054,302.67
  5. Step 5: Solve for x
    x = 114,114,054,302.67/367,971.48
  6. Step 6: Final answer
    x = 310,116.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.