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Finding the Fourth Proportional to 367,798.12, 507,547.27 and 206,659.96

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Solution

The fourth proportional to 367,798.12, 507,547.27 and 206,659.96 is: 285,182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,798.12 : 507,547.27 = 206,659.96 : x
  2. Step 2: Convert to fraction form
    367,798.12/507,547.27 = 206,659.96/x
  3. Step 3: Cross multiply
    367,798.12x = 507,547.27 × 206,659.96
  4. Step 4: Simplify right side
    367,798.12x = 104,889,698,516.31
  5. Step 5: Solve for x
    x = 104,889,698,516.31/367,798.12
  6. Step 6: Final answer
    x = 285,182.80

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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.