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Finding the Fourth Proportional to 427,152.80, 640,729.20 and 111,641.60

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Solution

The fourth proportional to 427,152.80, 640,729.20 and 111,641.60 is: 167,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,152.80 : 640,729.20 = 111,641.60 : x
  2. Step 2: Convert to fraction form
    427,152.80/640,729.20 = 111,641.60/x
  3. Step 3: Cross multiply
    427,152.80x = 640,729.20 × 111,641.60
  4. Step 4: Simplify right side
    427,152.80x = 71,532,033,054.72
  5. Step 5: Solve for x
    x = 71,532,033,054.72/427,152.80
  6. Step 6: Final answer
    x = 167,462.40

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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.