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Finding the Fourth Proportional to 497,802.53, 686,966.22 and 271,448.03

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Solution

The fourth proportional to 497,802.53, 686,966.22 and 271,448.03 is: 374,597.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,802.53 : 686,966.22 = 271,448.03 : x
  2. Step 2: Convert to fraction form
    497,802.53/686,966.22 = 271,448.03/x
  3. Step 3: Cross multiply
    497,802.53x = 686,966.22 × 271,448.03
  4. Step 4: Simplify right side
    497,802.53x = 186,475,628,812.96
  5. Step 5: Solve for x
    x = 186,475,628,812.96/497,802.53
  6. Step 6: Final answer
    x = 374,597.59

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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.