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Finding the Fourth Proportional to 477,057.69, 658,341.05 and 262,219.77

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Solution

The fourth proportional to 477,057.69, 658,341.05 and 262,219.77 is: 361,864.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,057.69 : 658,341.05 = 262,219.77 : x
  2. Step 2: Convert to fraction form
    477,057.69/658,341.05 = 262,219.77/x
  3. Step 3: Cross multiply
    477,057.69x = 658,341.05 × 262,219.77
  4. Step 4: Simplify right side
    477,057.69x = 172,630,038,712.56
  5. Step 5: Solve for x
    x = 172,630,038,712.56/477,057.69
  6. Step 6: Final answer
    x = 361,864.07

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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.