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Finding the Fourth Proportional to 357,556.16, 493,430.28 and 196,412.96

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Solution

The fourth proportional to 357,556.16, 493,430.28 and 196,412.96 is: 271,051.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,556.16 : 493,430.28 = 196,412.96 : x
  2. Step 2: Convert to fraction form
    357,556.16/493,430.28 = 196,412.96/x
  3. Step 3: Cross multiply
    357,556.16x = 493,430.28 × 196,412.96
  4. Step 4: Simplify right side
    357,556.16x = 96,916,101,848.43
  5. Step 5: Solve for x
    x = 96,916,101,848.43/357,556.16
  6. Step 6: Final answer
    x = 271,051.41

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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.