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Finding the Fourth Proportional to 289,408.80, 433,967.40 and 171,116.40

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Solution

The fourth proportional to 289,408.80, 433,967.40 and 171,116.40 is: 256,588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,408.80 : 433,967.40 = 171,116.40 : x
  2. Step 2: Convert to fraction form
    289,408.80/433,967.40 = 171,116.40/x
  3. Step 3: Cross multiply
    289,408.80x = 433,967.40 × 171,116.40
  4. Step 4: Simplify right side
    289,408.80x = 74,258,939,205.36
  5. Step 5: Solve for x
    x = 74,258,939,205.36/289,408.80
  6. Step 6: Final answer
    x = 256,588.39

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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.