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Finding the Fourth Proportional to 510,002.20, 763,448.10 and 299,013.40

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Solution

The fourth proportional to 510,002.20, 763,448.10 and 299,013.40 is: 447,608.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,002.20 : 763,448.10 = 299,013.40 : x
  2. Step 2: Convert to fraction form
    510,002.20/763,448.10 = 299,013.40/x
  3. Step 3: Cross multiply
    510,002.20x = 763,448.10 × 299,013.40
  4. Step 4: Simplify right side
    510,002.20x = 228,281,212,104.54
  5. Step 5: Solve for x
    x = 228,281,212,104.54/510,002.20
  6. Step 6: Final answer
    x = 447,608.29

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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.