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Finding the Fourth Proportional to 289,053.40, 433,515.30 and 189,909.40

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Solution

The fourth proportional to 289,053.40, 433,515.30 and 189,909.40 is: 284,821.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,053.40 : 433,515.30 = 189,909.40 : x
  2. Step 2: Convert to fraction form
    289,053.40/433,515.30 = 189,909.40/x
  3. Step 3: Cross multiply
    289,053.40x = 433,515.30 × 189,909.40
  4. Step 4: Simplify right side
    289,053.40x = 82,328,630,513.82
  5. Step 5: Solve for x
    x = 82,328,630,513.82/289,053.40
  6. Step 6: Final answer
    x = 284,821.53

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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.