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Finding the Fourth Proportional to 367,686.18, 507,407.16 and 206,541.30

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Solution

The fourth proportional to 367,686.18, 507,407.16 and 206,541.30 is: 285,027.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,686.18 : 507,407.16 = 206,541.30 : x
  2. Step 2: Convert to fraction form
    367,686.18/507,407.16 = 206,541.30/x
  3. Step 3: Cross multiply
    367,686.18x = 507,407.16 × 206,541.30
  4. Step 4: Simplify right side
    367,686.18x = 104,800,534,455.71
  5. Step 5: Solve for x
    x = 104,800,534,455.71/367,686.18
  6. Step 6: Final answer
    x = 285,027.12

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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.