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Finding the Fourth Proportional to 470,792.14, 649,690.44 and 266,881.52

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Solution

The fourth proportional to 470,792.14, 649,690.44 and 266,881.52 is: 368,294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,792.14 : 649,690.44 = 266,881.52 : x
  2. Step 2: Convert to fraction form
    470,792.14/649,690.44 = 266,881.52/x
  3. Step 3: Cross multiply
    470,792.14x = 649,690.44 × 266,881.52
  4. Step 4: Simplify right side
    470,792.14x = 173,390,372,780.09
  5. Step 5: Solve for x
    x = 173,390,372,780.09/470,792.14
  6. Step 6: Final answer
    x = 368,294.96

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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.