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Finding the Fourth Proportional to 386,437.02, 533,291.64 and 214,349.38

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Solution

The fourth proportional to 386,437.02, 533,291.64 and 214,349.38 is: 295,806.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,437.02 : 533,291.64 = 214,349.38 : x
  2. Step 2: Convert to fraction form
    386,437.02/533,291.64 = 214,349.38/x
  3. Step 3: Cross multiply
    386,437.02x = 533,291.64 × 214,349.38
  4. Step 4: Simplify right side
    386,437.02x = 114,310,730,256.14
  5. Step 5: Solve for x
    x = 114,310,730,256.14/386,437.02
  6. Step 6: Final answer
    x = 295,806.88

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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.