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Finding the Fourth Proportional to 289,219.80, 433,829.70 and 283,314.90

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Solution

The fourth proportional to 289,219.80, 433,829.70 and 283,314.90 is: 424,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,219.80 : 433,829.70 = 283,314.90 : x
  2. Step 2: Convert to fraction form
    289,219.80/433,829.70 = 283,314.90/x
  3. Step 3: Cross multiply
    289,219.80x = 433,829.70 × 283,314.90
  4. Step 4: Simplify right side
    289,219.80x = 122,910,418,072.53
  5. Step 5: Solve for x
    x = 122,910,418,072.53/289,219.80
  6. Step 6: Final answer
    x = 424,972.35

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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.