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Finding the Fourth Proportional to 280,771.58, 387,464.82 and 153,447.14

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Solution

The fourth proportional to 280,771.58, 387,464.82 and 153,447.14 is: 211,757.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,771.58 : 387,464.82 = 153,447.14 : x
  2. Step 2: Convert to fraction form
    280,771.58/387,464.82 = 153,447.14/x
  3. Step 3: Cross multiply
    280,771.58x = 387,464.82 × 153,447.14
  4. Step 4: Simplify right side
    280,771.58x = 59,455,368,479.61
  5. Step 5: Solve for x
    x = 59,455,368,479.61/280,771.58
  6. Step 6: Final answer
    x = 211,757.07

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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.