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Finding the Fourth Proportional to 357,809.71, 493,768.98 and 194,462.35

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Solution

The fourth proportional to 357,809.71, 493,768.98 and 194,462.35 is: 268,353.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,809.71 : 493,768.98 = 194,462.35 : x
  2. Step 2: Convert to fraction form
    357,809.71/493,768.98 = 194,462.35/x
  3. Step 3: Cross multiply
    357,809.71x = 493,768.98 × 194,462.35
  4. Step 4: Simplify right side
    357,809.71x = 96,019,476,207.90
  5. Step 5: Solve for x
    x = 96,019,476,207.90/357,809.71
  6. Step 6: Final answer
    x = 268,353.47

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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.