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Finding the Fourth Proportional to 301,510.38, 416,089.80 and 165,557.16

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Solution

The fourth proportional to 301,510.38, 416,089.80 and 165,557.16 is: 228,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,510.38 : 416,089.80 = 165,557.16 : x
  2. Step 2: Convert to fraction form
    301,510.38/416,089.80 = 165,557.16/x
  3. Step 3: Cross multiply
    301,510.38x = 416,089.80 × 165,557.16
  4. Step 4: Simplify right side
    301,510.38x = 68,886,645,592.97
  5. Step 5: Solve for x
    x = 68,886,645,592.97/301,510.38
  6. Step 6: Final answer
    x = 228,471.89

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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.