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Finding the Fourth Proportional to 305,475.84, 458,359.56 and 147,616.56

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Solution

The fourth proportional to 305,475.84, 458,359.56 and 147,616.56 is: 221,495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,475.84 : 458,359.56 = 147,616.56 : x
  2. Step 2: Convert to fraction form
    305,475.84/458,359.56 = 147,616.56/x
  3. Step 3: Cross multiply
    305,475.84x = 458,359.56 × 147,616.56
  4. Step 4: Simplify right side
    305,475.84x = 67,661,461,490.31
  5. Step 5: Solve for x
    x = 67,661,461,490.31/305,475.84
  6. Step 6: Final answer
    x = 221,495.30

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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.