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Finding the Fourth Proportional to 583,208.29, 874,681.08 and 209,231.29

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Solution

The fourth proportional to 583,208.29, 874,681.08 and 209,231.29 is: 313,799.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,208.29 : 874,681.08 = 209,231.29 : x
  2. Step 2: Convert to fraction form
    583,208.29/874,681.08 = 209,231.29/x
  3. Step 3: Cross multiply
    583,208.29x = 874,681.08 × 209,231.29
  4. Step 4: Simplify right side
    583,208.29x = 183,010,650,706.99
  5. Step 5: Solve for x
    x = 183,010,650,706.99/583,208.29
  6. Step 6: Final answer
    x = 313,799.81

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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.