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Finding the Fourth Proportional to 338,273.84, 507,468.40 and 116,606

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Solution

The fourth proportional to 338,273.84, 507,468.40 and 116,606 is: 174,928.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,273.84 : 507,468.40 = 116,606 : x
  2. Step 2: Convert to fraction form
    338,273.84/507,468.40 = 116,606/x
  3. Step 3: Cross multiply
    338,273.84x = 507,468.40 × 116,606
  4. Step 4: Simplify right side
    338,273.84x = 59,173,860,250.40
  5. Step 5: Solve for x
    x = 59,173,860,250.40/338,273.84
  6. Step 6: Final answer
    x = 174,928.87

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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.