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Finding the Fourth Proportional to 367,869.33, 507,661.43 and 214,916.22

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Solution

The fourth proportional to 367,869.33, 507,661.43 and 214,916.22 is: 296,585.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,869.33 : 507,661.43 = 214,916.22 : x
  2. Step 2: Convert to fraction form
    367,869.33/507,661.43 = 214,916.22/x
  3. Step 3: Cross multiply
    367,869.33x = 507,661.43 × 214,916.22
  4. Step 4: Simplify right side
    367,869.33x = 109,104,674,500.81
  5. Step 5: Solve for x
    x = 109,104,674,500.81/367,869.33
  6. Step 6: Final answer
    x = 296,585.41

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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.