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Finding the Fourth Proportional to 416,201.89, 624,303.14 and 100,659.10

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Solution

The fourth proportional to 416,201.89, 624,303.14 and 100,659.10 is: 150,988.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,201.89 : 624,303.14 = 100,659.10 : x
  2. Step 2: Convert to fraction form
    416,201.89/624,303.14 = 100,659.10/x
  3. Step 3: Cross multiply
    416,201.89x = 624,303.14 × 100,659.10
  4. Step 4: Simplify right side
    416,201.89x = 62,841,791,696.28
  5. Step 5: Solve for x
    x = 62,841,791,696.28/416,201.89
  6. Step 6: Final answer
    x = 150,988.72

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1.5x scale

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.