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Finding the Fourth Proportional to 289,643.80, 434,465.70 and 195,640.60

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Solution

The fourth proportional to 289,643.80, 434,465.70 and 195,640.60 is: 293,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,643.80 : 434,465.70 = 195,640.60 : x
  2. Step 2: Convert to fraction form
    289,643.80/434,465.70 = 195,640.60/x
  3. Step 3: Cross multiply
    289,643.80x = 434,465.70 × 195,640.60
  4. Step 4: Simplify right side
    289,643.80x = 84,999,130,227.42
  5. Step 5: Solve for x
    x = 84,999,130,227.42/289,643.80
  6. Step 6: Final answer
    x = 293,460.90

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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.