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Finding the Fourth Proportional to 357,608.16, 493,507.52 and 196,473.28

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Solution

The fourth proportional to 357,608.16, 493,507.52 and 196,473.28 is: 271,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,608.16 : 493,507.52 = 196,473.28 : x
  2. Step 2: Convert to fraction form
    357,608.16/493,507.52 = 196,473.28/x
  3. Step 3: Cross multiply
    357,608.16x = 493,507.52 × 196,473.28
  4. Step 4: Simplify right side
    357,608.16x = 96,961,041,159.07
  5. Step 5: Solve for x
    x = 96,961,041,159.07/357,608.16
  6. Step 6: Final answer
    x = 271,137.66

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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.