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Finding the Fourth Proportional to 367,901.89, 507,615.93 and 214,853.20

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Solution

The fourth proportional to 367,901.89, 507,615.93 and 214,853.20 is: 296,445.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,901.89 : 507,615.93 = 214,853.20 : x
  2. Step 2: Convert to fraction form
    367,901.89/507,615.93 = 214,853.20/x
  3. Step 3: Cross multiply
    367,901.89x = 507,615.93 × 214,853.20
  4. Step 4: Simplify right side
    367,901.89x = 109,062,906,931.48
  5. Step 5: Solve for x
    x = 109,062,906,931.48/367,901.89
  6. Step 6: Final answer
    x = 296,445.63

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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.