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Finding the Fourth Proportional to 334,224.64, 501,468.24 and 147,104.96

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Solution

The fourth proportional to 334,224.64, 501,468.24 and 147,104.96 is: 220,715.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,224.64 : 501,468.24 = 147,104.96 : x
  2. Step 2: Convert to fraction form
    334,224.64/501,468.24 = 147,104.96/x
  3. Step 3: Cross multiply
    334,224.64x = 501,468.24 × 147,104.96
  4. Step 4: Simplify right side
    334,224.64x = 73,768,465,386.47
  5. Step 5: Solve for x
    x = 73,768,465,386.47/334,224.64
  6. Step 6: Final answer
    x = 220,715.22

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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.