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Finding the Fourth Proportional to 325,644.10, 488,461.74 and 145,681.94

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Solution

The fourth proportional to 325,644.10, 488,461.74 and 145,681.94 is: 218,520.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,644.10 : 488,461.74 = 145,681.94 : x
  2. Step 2: Convert to fraction form
    325,644.10/488,461.74 = 145,681.94/x
  3. Step 3: Cross multiply
    325,644.10x = 488,461.74 × 145,681.94
  4. Step 4: Simplify right side
    325,644.10x = 71,160,053,898.98
  5. Step 5: Solve for x
    x = 71,160,053,898.98/325,644.10
  6. Step 6: Final answer
    x = 218,520.94

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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.