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Finding the Fourth Proportional to 277,465.83, 416,417.58 and 142,524.42

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Solution

The fourth proportional to 277,465.83, 416,417.58 and 142,524.42 is: 213,899.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,465.83 : 416,417.58 = 142,524.42 : x
  2. Step 2: Convert to fraction form
    277,465.83/416,417.58 = 142,524.42/x
  3. Step 3: Cross multiply
    277,465.83x = 416,417.58 × 142,524.42
  4. Step 4: Simplify right side
    277,465.83x = 59,349,674,067.30
  5. Step 5: Solve for x
    x = 59,349,674,067.30/277,465.83
  6. Step 6: Final answer
    x = 213,899.04

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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.