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Finding the Fourth Proportional to 470,533.61, 705,403.53 and 204,093.42

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Solution

The fourth proportional to 470,533.61, 705,403.53 and 204,093.42 is: 305,967.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,533.61 : 705,403.53 = 204,093.42 : x
  2. Step 2: Convert to fraction form
    470,533.61/705,403.53 = 204,093.42/x
  3. Step 3: Cross multiply
    470,533.61x = 705,403.53 × 204,093.42
  4. Step 4: Simplify right side
    470,533.61x = 143,968,218,917.77
  5. Step 5: Solve for x
    x = 143,968,218,917.77/470,533.61
  6. Step 6: Final answer
    x = 305,967.98

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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.