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Finding the Fourth Proportional to 357,669.98, 493,614.65 and 196,557.20

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Solution

The fourth proportional to 357,669.98, 493,614.65 and 196,557.20 is: 271,265.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,669.98 : 493,614.65 = 196,557.20 : x
  2. Step 2: Convert to fraction form
    357,669.98/493,614.65 = 196,557.20/x
  3. Step 3: Cross multiply
    357,669.98x = 493,614.65 × 196,557.20
  4. Step 4: Simplify right side
    357,669.98x = 97,023,513,482.98
  5. Step 5: Solve for x
    x = 97,023,513,482.98/357,669.98
  6. Step 6: Final answer
    x = 271,265.47

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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.