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Finding the Fourth Proportional to 386,544.38, 533,430.20 and 216,782.14

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Solution

The fourth proportional to 386,544.38, 533,430.20 and 216,782.14 is: 299,158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,544.38 : 533,430.20 = 216,782.14 : x
  2. Step 2: Convert to fraction form
    386,544.38/533,430.20 = 216,782.14/x
  3. Step 3: Cross multiply
    386,544.38x = 533,430.20 × 216,782.14
  4. Step 4: Simplify right side
    386,544.38x = 115,638,140,296.63
  5. Step 5: Solve for x
    x = 115,638,140,296.63/386,544.38
  6. Step 6: Final answer
    x = 299,158.77

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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.