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Finding the Fourth Proportional to 510,051.60, 765,077.40 and 454,939.20

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Solution

The fourth proportional to 510,051.60, 765,077.40 and 454,939.20 is: 682,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,051.60 : 765,077.40 = 454,939.20 : x
  2. Step 2: Convert to fraction form
    510,051.60/765,077.40 = 454,939.20/x
  3. Step 3: Cross multiply
    510,051.60x = 765,077.40 × 454,939.20
  4. Step 4: Simplify right side
    510,051.60x = 348,063,700,294.08
  5. Step 5: Solve for x
    x = 348,063,700,294.08/510,051.60
  6. Step 6: Final answer
    x = 682,408.80

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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.