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Finding the Fourth Proportional to 470,445.80, 649,168.29 and 266,455.98

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Solution

The fourth proportional to 470,445.80, 649,168.29 and 266,455.98 is: 367,682.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,445.80 : 649,168.29 = 266,455.98 : x
  2. Step 2: Convert to fraction form
    470,445.80/649,168.29 = 266,455.98/x
  3. Step 3: Cross multiply
    470,445.80x = 649,168.29 × 266,455.98
  4. Step 4: Simplify right side
    470,445.80x = 172,974,772,896.87
  5. Step 5: Solve for x
    x = 172,974,772,896.87/470,445.80
  6. Step 6: Final answer
    x = 367,682.68

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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.