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Finding the Fourth Proportional to 308,486.34, 461,894.67 and 201,603.96

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Solution

The fourth proportional to 308,486.34, 461,894.67 and 201,603.96 is: 301,860.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,486.34 : 461,894.67 = 201,603.96 : x
  2. Step 2: Convert to fraction form
    308,486.34/461,894.67 = 201,603.96/x
  3. Step 3: Cross multiply
    308,486.34x = 461,894.67 × 201,603.96
  4. Step 4: Simplify right side
    308,486.34x = 93,119,794,574.89
  5. Step 5: Solve for x
    x = 93,119,794,574.89/308,486.34
  6. Step 6: Final answer
    x = 301,860.35

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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.