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Finding the Fourth Proportional to 289,022.40, 433,468.80 and 189,878.40

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Solution

The fourth proportional to 289,022.40, 433,468.80 and 189,878.40 is: 284,775.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,022.40 : 433,468.80 = 189,878.40 : x
  2. Step 2: Convert to fraction form
    289,022.40/433,468.80 = 189,878.40/x
  3. Step 3: Cross multiply
    289,022.40x = 433,468.80 × 189,878.40
  4. Step 4: Simplify right side
    289,022.40x = 82,306,362,193.92
  5. Step 5: Solve for x
    x = 82,306,362,193.92/289,022.40
  6. Step 6: Final answer
    x = 284,775.03

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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.