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Finding the Fourth Proportional to 338,192.83, 507,295.71 and 110,489.07

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Solution

The fourth proportional to 338,192.83, 507,295.71 and 110,489.07 is: 165,735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,192.83 : 507,295.71 = 110,489.07 : x
  2. Step 2: Convert to fraction form
    338,192.83/507,295.71 = 110,489.07/x
  3. Step 3: Cross multiply
    338,192.83x = 507,295.71 × 110,489.07
  4. Step 4: Simplify right side
    338,192.83x = 56,050,633,426.00
  5. Step 5: Solve for x
    x = 56,050,633,426.00/338,192.83
  6. Step 6: Final answer
    x = 165,735.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.