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Finding the Fourth Proportional to 401,794.56, 602,706.84 and 102,282.12

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Solution

The fourth proportional to 401,794.56, 602,706.84 and 102,282.12 is: 153,427.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,794.56 : 602,706.84 = 102,282.12 : x
  2. Step 2: Convert to fraction form
    401,794.56/602,706.84 = 102,282.12/x
  3. Step 3: Cross multiply
    401,794.56x = 602,706.84 × 102,282.12
  4. Step 4: Simplify right side
    401,794.56x = 61,646,133,333.70
  5. Step 5: Solve for x
    x = 61,646,133,333.70/401,794.56
  6. Step 6: Final answer
    x = 153,427.00

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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.