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Finding the Fourth Proportional to 356,964.21, 535,609.71 and 154,622.16

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Solution

The fourth proportional to 356,964.21, 535,609.71 and 154,622.16 is: 232,004.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,964.21 : 535,609.71 = 154,622.16 : x
  2. Step 2: Convert to fraction form
    356,964.21/535,609.71 = 154,622.16/x
  3. Step 3: Cross multiply
    356,964.21x = 535,609.71 × 154,622.16
  4. Step 4: Simplify right side
    356,964.21x = 82,817,130,277.17
  5. Step 5: Solve for x
    x = 82,817,130,277.17/356,964.21
  6. Step 6: Final answer
    x = 232,004.02

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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.