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Finding the Fourth Proportional to 419,582.35, 579,018.24 and 228,595.89

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Solution

The fourth proportional to 419,582.35, 579,018.24 and 228,595.89 is: 315,459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,582.35 : 579,018.24 = 228,595.89 : x
  2. Step 2: Convert to fraction form
    419,582.35/579,018.24 = 228,595.89/x
  3. Step 3: Cross multiply
    419,582.35x = 579,018.24 × 228,595.89
  4. Step 4: Simplify right side
    419,582.35x = 132,361,189,899.03
  5. Step 5: Solve for x
    x = 132,361,189,899.03/419,582.35
  6. Step 6: Final answer
    x = 315,459.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.