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Finding the Fourth Proportional to 381,313.29, 571,973.19 and 97,004.10

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Solution

The fourth proportional to 381,313.29, 571,973.19 and 97,004.10 is: 145,506.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,313.29 : 571,973.19 = 97,004.10 : x
  2. Step 2: Convert to fraction form
    381,313.29/571,973.19 = 97,004.10/x
  3. Step 3: Cross multiply
    381,313.29x = 571,973.19 × 97,004.10
  4. Step 4: Simplify right side
    381,313.29x = 55,483,744,520.08
  5. Step 5: Solve for x
    x = 55,483,744,520.08/381,313.29
  6. Step 6: Final answer
    x = 145,506.98

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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.