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Finding the Fourth Proportional to 583,464.07, 874,670.86 and 209,399.59

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Solution

The fourth proportional to 583,464.07, 874,670.86 and 209,399.59 is: 313,910.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,464.07 : 874,670.86 = 209,399.59 : x
  2. Step 2: Convert to fraction form
    583,464.07/874,670.86 = 209,399.59/x
  3. Step 3: Cross multiply
    583,464.07x = 874,670.86 × 209,399.59
  4. Step 4: Simplify right side
    583,464.07x = 183,155,714,048.60
  5. Step 5: Solve for x
    x = 183,155,714,048.60/583,464.07
  6. Step 6: Final answer
    x = 313,910.87

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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.