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Finding the Fourth Proportional to 335,053.45, 501,858.46 and 157,294.09

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Solution

The fourth proportional to 335,053.45, 501,858.46 and 157,294.09 is: 235,602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,053.45 : 501,858.46 = 157,294.09 : x
  2. Step 2: Convert to fraction form
    335,053.45/501,858.46 = 157,294.09/x
  3. Step 3: Cross multiply
    335,053.45x = 501,858.46 × 157,294.09
  4. Step 4: Simplify right side
    335,053.45x = 78,939,369,774.50
  5. Step 5: Solve for x
    x = 78,939,369,774.50/335,053.45
  6. Step 6: Final answer
    x = 235,602.32

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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.