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Finding the Fourth Proportional to 565,024.86, 779,740.18 and 306,906.84

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Solution

The fourth proportional to 565,024.86, 779,740.18 and 306,906.84 is: 423,534.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,024.86 : 779,740.18 = 306,906.84 : x
  2. Step 2: Convert to fraction form
    565,024.86/779,740.18 = 306,906.84/x
  3. Step 3: Cross multiply
    565,024.86x = 779,740.18 × 306,906.84
  4. Step 4: Simplify right side
    565,024.86x = 239,307,594,760.74
  5. Step 5: Solve for x
    x = 239,307,594,760.74/565,024.86
  6. Step 6: Final answer
    x = 423,534.63

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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.