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Finding the Fourth Proportional to 413,407.20, 620,110.80 and 406,408.80

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Solution

The fourth proportional to 413,407.20, 620,110.80 and 406,408.80 is: 609,613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,407.20 : 620,110.80 = 406,408.80 : x
  2. Step 2: Convert to fraction form
    413,407.20/620,110.80 = 406,408.80/x
  3. Step 3: Cross multiply
    413,407.20x = 620,110.80 × 406,408.80
  4. Step 4: Simplify right side
    413,407.20x = 252,018,486,095.04
  5. Step 5: Solve for x
    x = 252,018,486,095.04/413,407.20
  6. Step 6: Final answer
    x = 609,613.20

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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.