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Finding the Fourth Proportional to 357,756.14, 493,716.47 and 196,623.45

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Solution

The fourth proportional to 357,756.14, 493,716.47 and 196,623.45 is: 271,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,756.14 : 493,716.47 = 196,623.45 : x
  2. Step 2: Convert to fraction form
    357,756.14/493,716.47 = 196,623.45/x
  3. Step 3: Cross multiply
    357,756.14x = 493,716.47 × 196,623.45
  4. Step 4: Simplify right side
    357,756.14x = 97,076,234,670.10
  5. Step 5: Solve for x
    x = 97,076,234,670.10/357,756.14
  6. Step 6: Final answer
    x = 271,347.50

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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.