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Finding the Fourth Proportional to 367,417.08, 507,064.86 and 206,282.70

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Solution

The fourth proportional to 367,417.08, 507,064.86 and 206,282.70 is: 284,686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,417.08 : 507,064.86 = 206,282.70 : x
  2. Step 2: Convert to fraction form
    367,417.08/507,064.86 = 206,282.70/x
  3. Step 3: Cross multiply
    367,417.08x = 507,064.86 × 206,282.70
  4. Step 4: Simplify right side
    367,417.08x = 104,598,708,395.92
  5. Step 5: Solve for x
    x = 104,598,708,395.92/367,417.08
  6. Step 6: Final answer
    x = 284,686.57

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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.