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Finding the Fourth Proportional to 357,809.77, 493,778.56 and 196,681.33

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Solution

The fourth proportional to 357,809.77, 493,778.56 and 196,681.33 is: 271,420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,809.77 : 493,778.56 = 196,681.33 : x
  2. Step 2: Convert to fraction form
    357,809.77/493,778.56 = 196,681.33/x
  3. Step 3: Cross multiply
    357,809.77x = 493,778.56 × 196,681.33
  4. Step 4: Simplify right side
    357,809.77x = 97,117,024,769.36
  5. Step 5: Solve for x
    x = 97,117,024,769.36/357,809.77
  6. Step 6: Final answer
    x = 271,420.83

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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.