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Finding the Fourth Proportional to 737,533.79, 1,106,730.84 and 311,043.32

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Solution

The fourth proportional to 737,533.79, 1,106,730.84 and 311,043.32 is: 466,746.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,533.79 : 1,106,730.84 = 311,043.32 : x
  2. Step 2: Convert to fraction form
    737,533.79/1,106,730.84 = 311,043.32/x
  3. Step 3: Cross multiply
    737,533.79x = 1,106,730.84 × 311,043.32
  4. Step 4: Simplify right side
    737,533.79x = 344,241,234,819.99
  5. Step 5: Solve for x
    x = 344,241,234,819.99/737,533.79
  6. Step 6: Final answer
    x = 466,746.39

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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.