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Finding the Fourth Proportional to 470,056.43, 648,692.75 and 266,103.65

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Solution

The fourth proportional to 470,056.43, 648,692.75 and 266,103.65 is: 367,231.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,056.43 : 648,692.75 = 266,103.65 : x
  2. Step 2: Convert to fraction form
    470,056.43/648,692.75 = 266,103.65/x
  3. Step 3: Cross multiply
    470,056.43x = 648,692.75 × 266,103.65
  4. Step 4: Simplify right side
    470,056.43x = 172,619,507,141.63
  5. Step 5: Solve for x
    x = 172,619,507,141.63/470,056.43
  6. Step 6: Final answer
    x = 367,231.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.