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Finding the Fourth Proportional to 470,599.94, 649,393.80 and 266,654.90

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Solution

The fourth proportional to 470,599.94, 649,393.80 and 266,654.90 is: 367,964.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,599.94 : 649,393.80 = 266,654.90 : x
  2. Step 2: Convert to fraction form
    470,599.94/649,393.80 = 266,654.90/x
  3. Step 3: Cross multiply
    470,599.94x = 649,393.80 × 266,654.90
  4. Step 4: Simplify right side
    470,599.94x = 173,164,038,799.62
  5. Step 5: Solve for x
    x = 173,164,038,799.62/470,599.94
  6. Step 6: Final answer
    x = 367,964.43

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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.