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Finding the Fourth Proportional to 553,423.14, 830,052.06 and 154,022.28

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Solution

The fourth proportional to 553,423.14, 830,052.06 and 154,022.28 is: 231,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,423.14 : 830,052.06 = 154,022.28 : x
  2. Step 2: Convert to fraction form
    553,423.14/830,052.06 = 154,022.28/x
  3. Step 3: Cross multiply
    553,423.14x = 830,052.06 × 154,022.28
  4. Step 4: Simplify right side
    553,423.14x = 127,846,510,799.90
  5. Step 5: Solve for x
    x = 127,846,510,799.90/553,423.14
  6. Step 6: Final answer
    x = 231,010.42

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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.