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Finding the Fourth Proportional to 301,541.00, 416,107.94 and 165,574.40

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Solution

The fourth proportional to 301,541.00, 416,107.94 and 165,574.40 is: 228,482.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,541.00 : 416,107.94 = 165,574.40 : x
  2. Step 2: Convert to fraction form
    301,541.00/416,107.94 = 165,574.40/x
  3. Step 3: Cross multiply
    301,541.00x = 416,107.94 × 165,574.40
  4. Step 4: Simplify right side
    301,541.00x = 68,896,819,592.32
  5. Step 5: Solve for x
    x = 68,896,819,592.32/301,541.00
  6. Step 6: Final answer
    x = 228,482.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.