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Finding the Fourth Proportional to 470,792.42, 649,690.82 and 266,881.80

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Solution

The fourth proportional to 470,792.42, 649,690.82 and 266,881.80 is: 368,295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,792.42 : 649,690.82 = 266,881.80 : x
  2. Step 2: Convert to fraction form
    470,792.42/649,690.82 = 266,881.80/x
  3. Step 3: Cross multiply
    470,792.42x = 649,690.82 × 266,881.80
  4. Step 4: Simplify right side
    470,792.42x = 173,390,659,089.02
  5. Step 5: Solve for x
    x = 173,390,659,089.02/470,792.42
  6. Step 6: Final answer
    x = 368,295.35

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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.