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Finding the Fourth Proportional to 381,352.65, 572,032.28 and 97,043.46

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Solution

The fourth proportional to 381,352.65, 572,032.28 and 97,043.46 is: 145,566.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,352.65 : 572,032.28 = 97,043.46 : x
  2. Step 2: Convert to fraction form
    381,352.65/572,032.28 = 97,043.46/x
  3. Step 3: Cross multiply
    381,352.65x = 572,032.28 × 97,043.46
  4. Step 4: Simplify right side
    381,352.65x = 55,511,991,682.89
  5. Step 5: Solve for x
    x = 55,511,991,682.89/381,352.65
  6. Step 6: Final answer
    x = 145,566.03

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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.