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Finding the Fourth Proportional to 243,460.86, 364,695.38 and 198,641.94

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Solution

The fourth proportional to 243,460.86, 364,695.38 and 198,641.94 is: 297,558.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,460.86 : 364,695.38 = 198,641.94 : x
  2. Step 2: Convert to fraction form
    243,460.86/364,695.38 = 198,641.94/x
  3. Step 3: Cross multiply
    243,460.86x = 364,695.38 × 198,641.94
  4. Step 4: Simplify right side
    243,460.86x = 72,443,797,792.24
  5. Step 5: Solve for x
    x = 72,443,797,792.24/243,460.86
  6. Step 6: Final answer
    x = 297,558.29

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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.