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Finding the Fourth Proportional to 334,230.24, 501,549.48 and 144,741.24

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Solution

The fourth proportional to 334,230.24, 501,549.48 and 144,741.24 is: 217,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,230.24 : 501,549.48 = 144,741.24 : x
  2. Step 2: Convert to fraction form
    334,230.24/501,549.48 = 144,741.24/x
  3. Step 3: Cross multiply
    334,230.24x = 501,549.48 × 144,741.24
  4. Step 4: Simplify right side
    334,230.24x = 72,594,893,656.56
  5. Step 5: Solve for x
    x = 72,594,893,656.56/334,230.24
  6. Step 6: Final answer
    x = 217,200.26

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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.