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Finding the Fourth Proportional to 346,261.68, 519,459.84 and 133,014

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Solution

The fourth proportional to 346,261.68, 519,459.84 and 133,014 is: 199,546.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,261.68 : 519,459.84 = 133,014 : x
  2. Step 2: Convert to fraction form
    346,261.68/519,459.84 = 133,014/x
  3. Step 3: Cross multiply
    346,261.68x = 519,459.84 × 133,014
  4. Step 4: Simplify right side
    346,261.68x = 69,095,431,157.76
  5. Step 5: Solve for x
    x = 69,095,431,157.76/346,261.68
  6. Step 6: Final answer
    x = 199,546.86

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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.