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Finding the Fourth Proportional to 338,175, 507,340.26 and 116,559

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Solution

The fourth proportional to 338,175, 507,340.26 and 116,559 is: 174,865.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,175 : 507,340.26 = 116,559 : x
  2. Step 2: Convert to fraction form
    338,175/507,340.26 = 116,559/x
  3. Step 3: Cross multiply
    338,175x = 507,340.26 × 116,559
  4. Step 4: Simplify right side
    338,175x = 59,135,073,365.34
  5. Step 5: Solve for x
    x = 59,135,073,365.34/338,175
  6. Step 6: Final answer
    x = 174,865.30

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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.