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Finding the Fourth Proportional to 496,852.44, 745,402.86 and 197,233.98

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Solution

The fourth proportional to 496,852.44, 745,402.86 and 197,233.98 is: 295,900.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,852.44 : 745,402.86 = 197,233.98 : x
  2. Step 2: Convert to fraction form
    496,852.44/745,402.86 = 197,233.98/x
  3. Step 3: Cross multiply
    496,852.44x = 745,402.86 × 197,233.98
  4. Step 4: Simplify right side
    496,852.44x = 147,018,772,781.18
  5. Step 5: Solve for x
    x = 147,018,772,781.18/496,852.44
  6. Step 6: Final answer
    x = 295,900.27

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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.