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Finding the Fourth Proportional to 288,047.61, 397,466.19 and 160,698.60

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Solution

The fourth proportional to 288,047.61, 397,466.19 and 160,698.60 is: 221,742.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,047.61 : 397,466.19 = 160,698.60 : x
  2. Step 2: Convert to fraction form
    288,047.61/397,466.19 = 160,698.60/x
  3. Step 3: Cross multiply
    288,047.61x = 397,466.19 × 160,698.60
  4. Step 4: Simplify right side
    288,047.61x = 63,872,260,280.33
  5. Step 5: Solve for x
    x = 63,872,260,280.33/288,047.61
  6. Step 6: Final answer
    x = 221,742.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.