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Finding the Fourth Proportional to 357,970, 493,985.95 and 196,823.92

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Solution

The fourth proportional to 357,970, 493,985.95 and 196,823.92 is: 271,610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,970 : 493,985.95 = 196,823.92 : x
  2. Step 2: Convert to fraction form
    357,970/493,985.95 = 196,823.92/x
  3. Step 3: Cross multiply
    357,970x = 493,985.95 × 196,823.92
  4. Step 4: Simplify right side
    357,970x = 97,228,251,103.92
  5. Step 5: Solve for x
    x = 97,228,251,103.92/357,970
  6. Step 6: Final answer
    x = 271,610.05

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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.