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Finding the Fourth Proportional to 531,166.40, 796,748.48 and 166,456

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Solution

The fourth proportional to 531,166.40, 796,748.48 and 166,456 is: 249,683.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,166.40 : 796,748.48 = 166,456 : x
  2. Step 2: Convert to fraction form
    531,166.40/796,748.48 = 166,456/x
  3. Step 3: Cross multiply
    531,166.40x = 796,748.48 × 166,456
  4. Step 4: Simplify right side
    531,166.40x = 132,623,564,986.88
  5. Step 5: Solve for x
    x = 132,623,564,986.88/531,166.40
  6. Step 6: Final answer
    x = 249,683.65

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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.