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Finding the Fourth Proportional to 406,999.70, 610,499.55 and 346,865.30

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Solution

The fourth proportional to 406,999.70, 610,499.55 and 346,865.30 is: 520,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,999.70 : 610,499.55 = 346,865.30 : x
  2. Step 2: Convert to fraction form
    406,999.70/610,499.55 = 346,865.30/x
  3. Step 3: Cross multiply
    406,999.70x = 610,499.55 × 346,865.30
  4. Step 4: Simplify right side
    406,999.70x = 211,761,109,560.62
  5. Step 5: Solve for x
    x = 211,761,109,560.62/406,999.70
  6. Step 6: Final answer
    x = 520,297.95

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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.