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Finding the Fourth Proportional to 301,523.58, 416,017.62 and 194,155.74

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Solution

The fourth proportional to 301,523.58, 416,017.62 and 194,155.74 is: 267,880.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,523.58 : 416,017.62 = 194,155.74 : x
  2. Step 2: Convert to fraction form
    301,523.58/416,017.62 = 194,155.74/x
  3. Step 3: Cross multiply
    301,523.58x = 416,017.62 × 194,155.74
  4. Step 4: Simplify right side
    301,523.58x = 80,772,208,864.14
  5. Step 5: Solve for x
    x = 80,772,208,864.14/301,523.58
  6. Step 6: Final answer
    x = 267,880.24

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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.