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Finding the Fourth Proportional to 313,643.60, 470,465.40 and 188,920.40

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Solution

The fourth proportional to 313,643.60, 470,465.40 and 188,920.40 is: 283,380.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,643.60 : 470,465.40 = 188,920.40 : x
  2. Step 2: Convert to fraction form
    313,643.60/470,465.40 = 188,920.40/x
  3. Step 3: Cross multiply
    313,643.60x = 470,465.40 × 188,920.40
  4. Step 4: Simplify right side
    313,643.60x = 88,880,511,554.16
  5. Step 5: Solve for x
    x = 88,880,511,554.16/313,643.60
  6. Step 6: Final answer
    x = 283,380.60

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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.