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Finding the Fourth Proportional to 357,868.48, 493,852.62 and 196,720.06

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Solution

The fourth proportional to 357,868.48, 493,852.62 and 196,720.06 is: 271,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,868.48 : 493,852.62 = 196,720.06 : x
  2. Step 2: Convert to fraction form
    357,868.48/493,852.62 = 196,720.06/x
  3. Step 3: Cross multiply
    357,868.48x = 493,852.62 × 196,720.06
  4. Step 4: Simplify right side
    357,868.48x = 97,150,717,037.56
  5. Step 5: Solve for x
    x = 97,150,717,037.56/357,868.48
  6. Step 6: Final answer
    x = 271,470.45

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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.