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Finding the Fourth Proportional to 413,615.16, 620,476.20 and 147,452.40

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Solution

The fourth proportional to 413,615.16, 620,476.20 and 147,452.40 is: 221,197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,615.16 : 620,476.20 = 147,452.40 : x
  2. Step 2: Convert to fraction form
    413,615.16/620,476.20 = 147,452.40/x
  3. Step 3: Cross multiply
    413,615.16x = 620,476.20 × 147,452.40
  4. Step 4: Simplify right side
    413,615.16x = 91,490,704,832.88
  5. Step 5: Solve for x
    x = 91,490,704,832.88/413,615.16
  6. Step 6: Final answer
    x = 221,197.66

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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.