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Finding the Fourth Proportional to 466,263.40, 699,223.74 and 166,663.12

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Solution

The fourth proportional to 466,263.40, 699,223.74 and 166,663.12 is: 249,933.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,263.40 : 699,223.74 = 166,663.12 : x
  2. Step 2: Convert to fraction form
    466,263.40/699,223.74 = 166,663.12/x
  3. Step 3: Cross multiply
    466,263.40x = 699,223.74 × 166,663.12
  4. Step 4: Simplify right side
    466,263.40x = 116,534,810,086.47
  5. Step 5: Solve for x
    x = 116,534,810,086.47/466,263.40
  6. Step 6: Final answer
    x = 249,933.43

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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.