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Finding the Fourth Proportional to 529,194.68, 730,300.02 and 299,753

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Solution

The fourth proportional to 529,194.68, 730,300.02 and 299,753 is: 413,665.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,194.68 : 730,300.02 = 299,753 : x
  2. Step 2: Convert to fraction form
    529,194.68/730,300.02 = 299,753/x
  3. Step 3: Cross multiply
    529,194.68x = 730,300.02 × 299,753
  4. Step 4: Simplify right side
    529,194.68x = 218,909,621,895.06
  5. Step 5: Solve for x
    x = 218,909,621,895.06/529,194.68
  6. Step 6: Final answer
    x = 413,665.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.