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Finding the Fourth Proportional to 562,213.52, 841,968.76 and 321,597.84

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Solution

The fourth proportional to 562,213.52, 841,968.76 and 321,597.84 is: 481,623.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,213.52 : 841,968.76 = 321,597.84 : x
  2. Step 2: Convert to fraction form
    562,213.52/841,968.76 = 321,597.84/x
  3. Step 3: Cross multiply
    562,213.52x = 841,968.76 × 321,597.84
  4. Step 4: Simplify right side
    562,213.52x = 270,775,334,563.48
  5. Step 5: Solve for x
    x = 270,775,334,563.48/562,213.52
  6. Step 6: Final answer
    x = 481,623.66

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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.