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Finding the Fourth Proportional to 289,947.33, 434,816.69 and 100,356.19

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Solution

The fourth proportional to 289,947.33, 434,816.69 and 100,356.19 is: 150,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,947.33 : 434,816.69 = 100,356.19 : x
  2. Step 2: Convert to fraction form
    289,947.33/434,816.69 = 100,356.19/x
  3. Step 3: Cross multiply
    289,947.33x = 434,816.69 × 100,356.19
  4. Step 4: Simplify right side
    289,947.33x = 43,636,544,767.99
  5. Step 5: Solve for x
    x = 43,636,544,767.99/289,947.33
  6. Step 6: Final answer
    x = 150,498.18

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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.