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Finding the Fourth Proportional to 357,973, 493,990.10 and 196,826.92

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Solution

The fourth proportional to 357,973, 493,990.10 and 196,826.92 is: 271,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,973 : 493,990.10 = 196,826.92 : x
  2. Step 2: Convert to fraction form
    357,973/493,990.10 = 196,826.92/x
  3. Step 3: Cross multiply
    357,973x = 493,990.10 × 196,826.92
  4. Step 4: Simplify right side
    357,973x = 97,230,549,893.49
  5. Step 5: Solve for x
    x = 97,230,549,893.49/357,973
  6. Step 6: Final answer
    x = 271,614.20

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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.