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Finding the Fourth Proportional to 470,445.71, 649,072.05 and 266,464.22

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Solution

The fourth proportional to 470,445.71, 649,072.05 and 266,464.22 is: 367,639.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,445.71 : 649,072.05 = 266,464.22 : x
  2. Step 2: Convert to fraction form
    470,445.71/649,072.05 = 266,464.22/x
  3. Step 3: Cross multiply
    470,445.71x = 649,072.05 × 266,464.22
  4. Step 4: Simplify right side
    470,445.71x = 172,954,477,527.05
  5. Step 5: Solve for x
    x = 172,954,477,527.05/470,445.71
  6. Step 6: Final answer
    x = 367,639.61

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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.