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Finding the Fourth Proportional to 338,562.90, 507,910.73 and 125,332.46

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Solution

The fourth proportional to 338,562.90, 507,910.73 and 125,332.46 is: 188,023.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,562.90 : 507,910.73 = 125,332.46 : x
  2. Step 2: Convert to fraction form
    338,562.90/507,910.73 = 125,332.46/x
  3. Step 3: Cross multiply
    338,562.90x = 507,910.73 × 125,332.46
  4. Step 4: Simplify right side
    338,562.90x = 63,657,699,025.07
  5. Step 5: Solve for x
    x = 63,657,699,025.07/338,562.90
  6. Step 6: Final answer
    x = 188,023.26

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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.