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Finding the Fourth Proportional to 470,615.26, 649,473.97 and 266,705.86

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Solution

The fourth proportional to 470,615.26, 649,473.97 and 266,705.86 is: 368,068.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,615.26 : 649,473.97 = 266,705.86 : x
  2. Step 2: Convert to fraction form
    470,615.26/649,473.97 = 266,705.86/x
  3. Step 3: Cross multiply
    470,615.26x = 649,473.97 × 266,705.86
  4. Step 4: Simplify right side
    470,615.26x = 173,218,513,716.46
  5. Step 5: Solve for x
    x = 173,218,513,716.46/470,615.26
  6. Step 6: Final answer
    x = 368,068.20

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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.