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Finding the Fourth Proportional to 432,004.80, 648,007.20 and 413,342.40

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Solution

The fourth proportional to 432,004.80, 648,007.20 and 413,342.40 is: 620,013.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,004.80 : 648,007.20 = 413,342.40 : x
  2. Step 2: Convert to fraction form
    432,004.80/648,007.20 = 413,342.40/x
  3. Step 3: Cross multiply
    432,004.80x = 648,007.20 × 413,342.40
  4. Step 4: Simplify right side
    432,004.80x = 267,848,851,265.28
  5. Step 5: Solve for x
    x = 267,848,851,265.28/432,004.80
  6. Step 6: Final answer
    x = 620,013.60

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1.5x scale

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.