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Finding the Fourth Proportional to 397,852.66, 596,773.12 and 98,333.27

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Solution

The fourth proportional to 397,852.66, 596,773.12 and 98,333.27 is: 147,498.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,852.66 : 596,773.12 = 98,333.27 : x
  2. Step 2: Convert to fraction form
    397,852.66/596,773.12 = 98,333.27/x
  3. Step 3: Cross multiply
    397,852.66x = 596,773.12 × 98,333.27
  4. Step 4: Simplify right side
    397,852.66x = 58,682,652,337.70
  5. Step 5: Solve for x
    x = 58,682,652,337.70/397,852.66
  6. Step 6: Final answer
    x = 147,498.45

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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.