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Finding the Fourth Proportional to 367,537.48, 507,256.62 and 224,380.64

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Solution

The fourth proportional to 367,537.48, 507,256.62 and 224,380.64 is: 309,678.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,537.48 : 507,256.62 = 224,380.64 : x
  2. Step 2: Convert to fraction form
    367,537.48/507,256.62 = 224,380.64/x
  3. Step 3: Cross multiply
    367,537.48x = 507,256.62 × 224,380.64
  4. Step 4: Simplify right side
    367,537.48x = 113,818,565,039.84
  5. Step 5: Solve for x
    x = 113,818,565,039.84/367,537.48
  6. Step 6: Final answer
    x = 309,678.80

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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.