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Finding the Fourth Proportional to 464,052.16, 695,964.78 and 148,443.76

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Solution

The fourth proportional to 464,052.16, 695,964.78 and 148,443.76 is: 222,629.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,052.16 : 695,964.78 = 148,443.76 : x
  2. Step 2: Convert to fraction form
    464,052.16/695,964.78 = 148,443.76/x
  3. Step 3: Cross multiply
    464,052.16x = 695,964.78 × 148,443.76
  4. Step 4: Simplify right side
    464,052.16x = 103,311,628,770.77
  5. Step 5: Solve for x
    x = 103,311,628,770.77/464,052.16
  6. Step 6: Final answer
    x = 222,629.35

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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.