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Finding the Fourth Proportional to 507,365.88, 700,170.06 and 306,123

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Solution

The fourth proportional to 507,365.88, 700,170.06 and 306,123 is: 422,452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,365.88 : 700,170.06 = 306,123 : x
  2. Step 2: Convert to fraction form
    507,365.88/700,170.06 = 306,123/x
  3. Step 3: Cross multiply
    507,365.88x = 700,170.06 × 306,123
  4. Step 4: Simplify right side
    507,365.88x = 214,338,159,277.38
  5. Step 5: Solve for x
    x = 214,338,159,277.38/507,365.88
  6. Step 6: Final answer
    x = 422,452.84

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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.