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Finding the Fourth Proportional to 423,030.14, 634,229.63 and 254,510.98

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Solution

The fourth proportional to 423,030.14, 634,229.63 and 254,510.98 is: 381,576.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,030.14 : 634,229.63 = 254,510.98 : x
  2. Step 2: Convert to fraction form
    423,030.14/634,229.63 = 254,510.98/x
  3. Step 3: Cross multiply
    423,030.14x = 634,229.63 × 254,510.98
  4. Step 4: Simplify right side
    423,030.14x = 161,418,405,625.63
  5. Step 5: Solve for x
    x = 161,418,405,625.63/423,030.14
  6. Step 6: Final answer
    x = 381,576.61

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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.