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Finding the Fourth Proportional to 308,870.12, 463,604.79 and 149,058.53

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Solution

The fourth proportional to 308,870.12, 463,604.79 and 149,058.53 is: 223,732.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,870.12 : 463,604.79 = 149,058.53 : x
  2. Step 2: Convert to fraction form
    308,870.12/463,604.79 = 149,058.53/x
  3. Step 3: Cross multiply
    308,870.12x = 463,604.79 × 149,058.53
  4. Step 4: Simplify right side
    308,870.12x = 69,104,248,498.36
  5. Step 5: Solve for x
    x = 69,104,248,498.36/308,870.12
  6. Step 6: Final answer
    x = 223,732.38

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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.