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Finding the Fourth Proportional to 334,478.19, 501,855.80 and 184,705.14

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Solution

The fourth proportional to 334,478.19, 501,855.80 and 184,705.14 is: 277,134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,478.19 : 501,855.80 = 184,705.14 : x
  2. Step 2: Convert to fraction form
    334,478.19/501,855.80 = 184,705.14/x
  3. Step 3: Cross multiply
    334,478.19x = 501,855.80 × 184,705.14
  4. Step 4: Simplify right side
    334,478.19x = 92,695,347,796.21
  5. Step 5: Solve for x
    x = 92,695,347,796.21/334,478.19
  6. Step 6: Final answer
    x = 277,134.20

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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.