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Finding the Fourth Proportional to 357,965.52, 494,000.40 and 196,810.32

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Solution

The fourth proportional to 357,965.52, 494,000.40 and 196,810.32 is: 271,602.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,965.52 : 494,000.40 = 196,810.32 : x
  2. Step 2: Convert to fraction form
    357,965.52/494,000.40 = 196,810.32/x
  3. Step 3: Cross multiply
    357,965.52x = 494,000.40 × 196,810.32
  4. Step 4: Simplify right side
    357,965.52x = 97,224,376,804.13
  5. Step 5: Solve for x
    x = 97,224,376,804.13/357,965.52
  6. Step 6: Final answer
    x = 271,602.63

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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.