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Finding the Fourth Proportional to 413,960.48, 620,421.28 and 177,024.64

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Solution

The fourth proportional to 413,960.48, 620,421.28 and 177,024.64 is: 265,314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,960.48 : 620,421.28 = 177,024.64 : x
  2. Step 2: Convert to fraction form
    413,960.48/620,421.28 = 177,024.64/x
  3. Step 3: Cross multiply
    413,960.48x = 620,421.28 × 177,024.64
  4. Step 4: Simplify right side
    413,960.48x = 109,829,853,740.34
  5. Step 5: Solve for x
    x = 109,829,853,740.34/413,960.48
  6. Step 6: Final answer
    x = 265,314.83

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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.