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Finding the Fourth Proportional to 368,070.98, 507,934.89 and 206,926.74

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Solution

The fourth proportional to 368,070.98, 507,934.89 and 206,926.74 is: 285,557.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,070.98 : 507,934.89 = 206,926.74 : x
  2. Step 2: Convert to fraction form
    368,070.98/507,934.89 = 206,926.74/x
  3. Step 3: Cross multiply
    368,070.98x = 507,934.89 × 206,926.74
  4. Step 4: Simplify right side
    368,070.98x = 105,105,310,919.96
  5. Step 5: Solve for x
    x = 105,105,310,919.96/368,070.98
  6. Step 6: Final answer
    x = 285,557.18

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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.