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Finding the Fourth Proportional to 357,885.95, 493,882.92 and 196,743.74

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Solution

The fourth proportional to 357,885.95, 493,882.92 and 196,743.74 is: 271,506.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,885.95 : 493,882.92 = 196,743.74 : x
  2. Step 2: Convert to fraction form
    357,885.95/493,882.92 = 196,743.74/x
  3. Step 3: Cross multiply
    357,885.95x = 493,882.92 × 196,743.74
  4. Step 4: Simplify right side
    357,885.95x = 97,168,370,333.51
  5. Step 5: Solve for x
    x = 97,168,370,333.51/357,885.95
  6. Step 6: Final answer
    x = 271,506.53

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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.