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Finding the Fourth Proportional to 357,915, 493,910.10 and 196,768.89

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Solution

The fourth proportional to 357,915, 493,910.10 and 196,768.89 is: 271,534.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,915 : 493,910.10 = 196,768.89 : x
  2. Step 2: Convert to fraction form
    357,915/493,910.10 = 196,768.89/x
  3. Step 3: Cross multiply
    357,915x = 493,910.10 × 196,768.89
  4. Step 4: Simplify right side
    357,915x = 97,186,142,136.79
  5. Step 5: Solve for x
    x = 97,186,142,136.79/357,915
  6. Step 6: Final answer
    x = 271,534.14

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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.