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Finding the Fourth Proportional to 470,780.52, 649,663.47 and 266,850.24

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Solution

The fourth proportional to 470,780.52, 649,663.47 and 266,850.24 is: 368,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,780.52 : 649,663.47 = 266,850.24 : x
  2. Step 2: Convert to fraction form
    470,780.52/649,663.47 = 266,850.24/x
  3. Step 3: Cross multiply
    470,780.52x = 649,663.47 × 266,850.24
  4. Step 4: Simplify right side
    470,780.52x = 173,362,852,888.73
  5. Step 5: Solve for x
    x = 173,362,852,888.73/470,780.52
  6. Step 6: Final answer
    x = 368,245.60

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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.