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Finding the Fourth Proportional to 470,073.42, 648,708.93 and 266,119.02

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Solution

The fourth proportional to 470,073.42, 648,708.93 and 266,119.02 is: 367,248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,073.42 : 648,708.93 = 266,119.02 : x
  2. Step 2: Convert to fraction form
    470,073.42/648,708.93 = 266,119.02/x
  3. Step 3: Cross multiply
    470,073.42x = 648,708.93 × 266,119.02
  4. Step 4: Simplify right side
    470,073.42x = 172,633,784,716.85
  5. Step 5: Solve for x
    x = 172,633,784,716.85/470,073.42
  6. Step 6: Final answer
    x = 367,248.56

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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.