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Finding the Fourth Proportional to 286,506.56, 429,759.84 and 108,972.56

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Solution

The fourth proportional to 286,506.56, 429,759.84 and 108,972.56 is: 163,458.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,506.56 : 429,759.84 = 108,972.56 : x
  2. Step 2: Convert to fraction form
    286,506.56/429,759.84 = 108,972.56/x
  3. Step 3: Cross multiply
    286,506.56x = 429,759.84 × 108,972.56
  4. Step 4: Simplify right side
    286,506.56x = 46,832,029,949.99
  5. Step 5: Solve for x
    x = 46,832,029,949.99/286,506.56
  6. Step 6: Final answer
    x = 163,458.84

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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.