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Finding the Fourth Proportional to 357,827.25, 493,802.70 and 196,698.81

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Solution

The fourth proportional to 357,827.25, 493,802.70 and 196,698.81 is: 271,444.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,827.25 : 493,802.70 = 196,698.81 : x
  2. Step 2: Convert to fraction form
    357,827.25/493,802.70 = 196,698.81/x
  3. Step 3: Cross multiply
    357,827.25x = 493,802.70 × 196,698.81
  4. Step 4: Simplify right side
    357,827.25x = 97,130,404,578.93
  5. Step 5: Solve for x
    x = 97,130,404,578.93/357,827.25
  6. Step 6: Final answer
    x = 271,444.96

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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.