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Finding the Fourth Proportional to 398,633.94, 597,953.07 and 99,114.53

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Solution

The fourth proportional to 398,633.94, 597,953.07 and 99,114.53 is: 148,672.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,633.94 : 597,953.07 = 99,114.53 : x
  2. Step 2: Convert to fraction form
    398,633.94/597,953.07 = 99,114.53/x
  3. Step 3: Cross multiply
    398,633.94x = 597,953.07 × 99,114.53
  4. Step 4: Simplify right side
    398,633.94x = 59,265,834,505.34
  5. Step 5: Solve for x
    x = 59,265,834,505.34/398,633.94
  6. Step 6: Final answer
    x = 148,672.32

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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.