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Finding the Fourth Proportional to 381,615.30, 572,438.51 and 97,313.22

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Solution

The fourth proportional to 381,615.30, 572,438.51 and 97,313.22 is: 145,973.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,615.30 : 572,438.51 = 97,313.22 : x
  2. Step 2: Convert to fraction form
    381,615.30/572,438.51 = 97,313.22/x
  3. Step 3: Cross multiply
    381,615.30x = 572,438.51 × 97,313.22
  4. Step 4: Simplify right side
    381,615.30x = 55,705,834,538.46
  5. Step 5: Solve for x
    x = 55,705,834,538.46/381,615.30
  6. Step 6: Final answer
    x = 145,973.80

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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.