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Finding the Fourth Proportional to 583,686, 874,396.08 and 383,398.65

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Solution

The fourth proportional to 583,686, 874,396.08 and 383,398.65 is: 574,353.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,686 : 874,396.08 = 383,398.65 : x
  2. Step 2: Convert to fraction form
    583,686/874,396.08 = 383,398.65/x
  3. Step 3: Cross multiply
    583,686x = 874,396.08 × 383,398.65
  4. Step 4: Simplify right side
    583,686x = 335,242,276,637.29
  5. Step 5: Solve for x
    x = 335,242,276,637.29/583,686
  6. Step 6: Final answer
    x = 574,353.81

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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.