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Finding the Fourth Proportional to 406,122.76, 609,204.30 and 106,604.20

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Solution

The fourth proportional to 406,122.76, 609,204.30 and 106,604.20 is: 159,911.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,122.76 : 609,204.30 = 106,604.20 : x
  2. Step 2: Convert to fraction form
    406,122.76/609,204.30 = 106,604.20/x
  3. Step 3: Cross multiply
    406,122.76x = 609,204.30 × 106,604.20
  4. Step 4: Simplify right side
    406,122.76x = 64,943,737,038.06
  5. Step 5: Solve for x
    x = 64,943,737,038.06/406,122.76
  6. Step 6: Final answer
    x = 159,911.59

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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.