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Finding the Fourth Proportional to 301,880.42, 416,421.51 and 188,506.34

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Solution

The fourth proportional to 301,880.42, 416,421.51 and 188,506.34 is: 260,030.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,880.42 : 416,421.51 = 188,506.34 : x
  2. Step 2: Convert to fraction form
    301,880.42/416,421.51 = 188,506.34/x
  3. Step 3: Cross multiply
    301,880.42x = 416,421.51 × 188,506.34
  4. Step 4: Simplify right side
    301,880.42x = 78,498,093,519.95
  5. Step 5: Solve for x
    x = 78,498,093,519.95/301,880.42
  6. Step 6: Final answer
    x = 260,030.42

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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.