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Finding the Fourth Proportional to 357,598.42, 493,494.96 and 196,457.53

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Solution

The fourth proportional to 357,598.42, 493,494.96 and 196,457.53 is: 271,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,598.42 : 493,494.96 = 196,457.53 : x
  2. Step 2: Convert to fraction form
    357,598.42/493,494.96 = 196,457.53/x
  3. Step 3: Cross multiply
    357,598.42x = 493,494.96 × 196,457.53
  4. Step 4: Simplify right side
    357,598.42x = 96,950,798,291.77
  5. Step 5: Solve for x
    x = 96,950,798,291.77/357,598.42
  6. Step 6: Final answer
    x = 271,116.41

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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.