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Finding the Fourth Proportional to 331,672, 457,706.96 and 180,769

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Solution

The fourth proportional to 331,672, 457,706.96 and 180,769 is: 249,461.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,672 : 457,706.96 = 180,769 : x
  2. Step 2: Convert to fraction form
    331,672/457,706.96 = 180,769/x
  3. Step 3: Cross multiply
    331,672x = 457,706.96 × 180,769
  4. Step 4: Simplify right side
    331,672x = 82,739,229,452.24
  5. Step 5: Solve for x
    x = 82,739,229,452.24/331,672
  6. Step 6: Final answer
    x = 249,461.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.