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Finding the Fourth Proportional to 357,893, 493,901.78 and 196,752.12

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Solution

The fourth proportional to 357,893, 493,901.78 and 196,752.12 is: 271,523.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,893 : 493,901.78 = 196,752.12 : x
  2. Step 2: Convert to fraction form
    357,893/493,901.78 = 196,752.12/x
  3. Step 3: Cross multiply
    357,893x = 493,901.78 × 196,752.12
  4. Step 4: Simplify right side
    357,893x = 97,176,222,286.77
  5. Step 5: Solve for x
    x = 97,176,222,286.77/357,893
  6. Step 6: Final answer
    x = 271,523.12

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1.5x scale

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.