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Finding the Fourth Proportional to 357,894, 493,903.16 and 196,753.12

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Solution

The fourth proportional to 357,894, 493,903.16 and 196,753.12 is: 271,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,894 : 493,903.16 = 196,753.12 : x
  2. Step 2: Convert to fraction form
    357,894/493,903.16 = 196,753.12/x
  3. Step 3: Cross multiply
    357,894x = 493,903.16 × 196,753.12
  4. Step 4: Simplify right side
    357,894x = 97,176,987,707.86
  5. Step 5: Solve for x
    x = 97,176,987,707.86/357,894
  6. Step 6: Final answer
    x = 271,524.50

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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.