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Finding the Fourth Proportional to 288,961, 398,783.86 and 161,645.16

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Solution

The fourth proportional to 288,961, 398,783.86 and 161,645.16 is: 223,080.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,961 : 398,783.86 = 161,645.16 : x
  2. Step 2: Convert to fraction form
    288,961/398,783.86 = 161,645.16/x
  3. Step 3: Cross multiply
    288,961x = 398,783.86 × 161,645.16
  4. Step 4: Simplify right side
    288,961x = 64,461,480,855.12
  5. Step 5: Solve for x
    x = 64,461,480,855.12/288,961
  6. Step 6: Final answer
    x = 223,080.21

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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.