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Finding the Fourth Proportional to 310,536.76, 465,903.60 and 110,852.86

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Solution

The fourth proportional to 310,536.76, 465,903.60 and 110,852.86 is: 166,314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,536.76 : 465,903.60 = 110,852.86 : x
  2. Step 2: Convert to fraction form
    310,536.76/465,903.60 = 110,852.86/x
  3. Step 3: Cross multiply
    310,536.76x = 465,903.60 × 110,852.86
  4. Step 4: Simplify right side
    310,536.76x = 51,646,746,544.30
  5. Step 5: Solve for x
    x = 51,646,746,544.30/310,536.76
  6. Step 6: Final answer
    x = 166,314.44

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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.