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Finding the Fourth Proportional to 586,249.86, 879,438.51 and 186,796.74

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Solution

The fourth proportional to 586,249.86, 879,438.51 and 186,796.74 is: 280,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,249.86 : 879,438.51 = 186,796.74 : x
  2. Step 2: Convert to fraction form
    586,249.86/879,438.51 = 186,796.74/x
  3. Step 3: Cross multiply
    586,249.86x = 879,438.51 × 186,796.74
  4. Step 4: Simplify right side
    586,249.86x = 164,276,246,698.46
  5. Step 5: Solve for x
    x = 164,276,246,698.46/586,249.86
  6. Step 6: Final answer
    x = 280,215.41

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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.