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Finding the Fourth Proportional to 367,666.47, 507,301.02 and 214,635.21

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Solution

The fourth proportional to 367,666.47, 507,301.02 and 214,635.21 is: 296,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,666.47 : 507,301.02 = 214,635.21 : x
  2. Step 2: Convert to fraction form
    367,666.47/507,301.02 = 214,635.21/x
  3. Step 3: Cross multiply
    367,666.47x = 507,301.02 × 214,635.21
  4. Step 4: Simplify right side
    367,666.47x = 108,884,660,960.91
  5. Step 5: Solve for x
    x = 108,884,660,960.91/367,666.47
  6. Step 6: Final answer
    x = 296,150.64

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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.