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Finding the Fourth Proportional to 310,971.68, 466,525.56 and 100,606.60

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Solution

The fourth proportional to 310,971.68, 466,525.56 and 100,606.60 is: 150,931.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,971.68 : 466,525.56 = 100,606.60 : x
  2. Step 2: Convert to fraction form
    310,971.68/466,525.56 = 100,606.60/x
  3. Step 3: Cross multiply
    310,971.68x = 466,525.56 × 100,606.60
  4. Step 4: Simplify right side
    310,971.68x = 46,935,550,404.70
  5. Step 5: Solve for x
    x = 46,935,550,404.70/310,971.68
  6. Step 6: Final answer
    x = 150,931.91

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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.