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Finding the Fourth Proportional to 357,592.16, 493,485.44 and 196,457.20

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Solution

The fourth proportional to 357,592.16, 493,485.44 and 196,457.20 is: 271,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,592.16 : 493,485.44 = 196,457.20 : x
  2. Step 2: Convert to fraction form
    357,592.16/493,485.44 = 196,457.20/x
  3. Step 3: Cross multiply
    357,592.16x = 493,485.44 × 196,457.20
  4. Step 4: Simplify right side
    357,592.16x = 96,948,767,783.17
  5. Step 5: Solve for x
    x = 96,948,767,783.17/357,592.16
  6. Step 6: Final answer
    x = 271,115.47

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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.