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Finding the Fourth Proportional to 602,295.63, 902,238.84 and 362,276.97

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Solution

The fourth proportional to 602,295.63, 902,238.84 and 362,276.97 is: 542,690.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,295.63 : 902,238.84 = 362,276.97 : x
  2. Step 2: Convert to fraction form
    602,295.63/902,238.84 = 362,276.97/x
  3. Step 3: Cross multiply
    602,295.63x = 902,238.84 × 362,276.97
  4. Step 4: Simplify right side
    602,295.63x = 326,860,353,171.52
  5. Step 5: Solve for x
    x = 326,860,353,171.52/602,295.63
  6. Step 6: Final answer
    x = 542,690.89

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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.