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Finding the Fourth Proportional to 517,683.22, 714,396.01 and 299,921.58

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Solution

The fourth proportional to 517,683.22, 714,396.01 and 299,921.58 is: 413,887.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,683.22 : 714,396.01 = 299,921.58 : x
  2. Step 2: Convert to fraction form
    517,683.22/714,396.01 = 299,921.58/x
  3. Step 3: Cross multiply
    517,683.22x = 714,396.01 × 299,921.58
  4. Step 4: Simplify right side
    517,683.22x = 214,262,780,064.90
  5. Step 5: Solve for x
    x = 214,262,780,064.90/517,683.22
  6. Step 6: Final answer
    x = 413,887.82

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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.