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Finding the Fourth Proportional to 476,204.49, 713,762.42 and 195,374.25

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Solution

The fourth proportional to 476,204.49, 713,762.42 and 195,374.25 is: 292,838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,204.49 : 713,762.42 = 195,374.25 : x
  2. Step 2: Convert to fraction form
    476,204.49/713,762.42 = 195,374.25/x
  3. Step 3: Cross multiply
    476,204.49x = 713,762.42 × 195,374.25
  4. Step 4: Simplify right side
    476,204.49x = 139,450,796,508.81
  5. Step 5: Solve for x
    x = 139,450,796,508.81/476,204.49
  6. Step 6: Final answer
    x = 292,838.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.