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Finding the Fourth Proportional to 470,441.58, 649,222.66 and 266,492.43

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Solution

The fourth proportional to 470,441.58, 649,222.66 and 266,492.43 is: 367,767.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,441.58 : 649,222.66 = 266,492.43 : x
  2. Step 2: Convert to fraction form
    470,441.58/649,222.66 = 266,492.43/x
  3. Step 3: Cross multiply
    470,441.58x = 649,222.66 × 266,492.43
  4. Step 4: Simplify right side
    470,441.58x = 173,012,926,042.82
  5. Step 5: Solve for x
    x = 173,012,926,042.82/470,441.58
  6. Step 6: Final answer
    x = 367,767.08

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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.