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Finding the Fourth Proportional to 334,774.80, 502,189.52 and 157,184.94

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Solution

The fourth proportional to 334,774.80, 502,189.52 and 157,184.94 is: 235,790.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,774.80 : 502,189.52 = 157,184.94 : x
  2. Step 2: Convert to fraction form
    334,774.80/502,189.52 = 157,184.94/x
  3. Step 3: Cross multiply
    334,774.80x = 502,189.52 × 157,184.94
  4. Step 4: Simplify right side
    334,774.80x = 78,936,628,783.90
  5. Step 5: Solve for x
    x = 78,936,628,783.90/334,774.80
  6. Step 6: Final answer
    x = 235,790.24

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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.