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Finding the Fourth Proportional to 367,933, 507,748.02 and 208,957

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Solution

The fourth proportional to 367,933, 507,748.02 and 208,957 is: 288,360.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,933 : 507,748.02 = 208,957 : x
  2. Step 2: Convert to fraction form
    367,933/507,748.02 = 208,957/x
  3. Step 3: Cross multiply
    367,933x = 507,748.02 × 208,957
  4. Step 4: Simplify right side
    367,933x = 106,097,503,015.14
  5. Step 5: Solve for x
    x = 106,097,503,015.14/367,933
  6. Step 6: Final answer
    x = 288,360.93

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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.