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Finding the Fourth Proportional to 289,023.40, 433,535.10 and 259,571.80

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Solution

The fourth proportional to 289,023.40, 433,535.10 and 259,571.80 is: 389,357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,023.40 : 433,535.10 = 259,571.80 : x
  2. Step 2: Convert to fraction form
    289,023.40/433,535.10 = 259,571.80/x
  3. Step 3: Cross multiply
    289,023.40x = 433,535.10 × 259,571.80
  4. Step 4: Simplify right side
    289,023.40x = 112,533,486,270.18
  5. Step 5: Solve for x
    x = 112,533,486,270.18/289,023.40
  6. Step 6: Final answer
    x = 389,357.70

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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.