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Finding the Fourth Proportional to 470,447.07, 705,564.21 and 217,588.81

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Solution

The fourth proportional to 470,447.07, 705,564.21 and 217,588.81 is: 326,334.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,447.07 : 705,564.21 = 217,588.81 : x
  2. Step 2: Convert to fraction form
    470,447.07/705,564.21 = 217,588.81/x
  3. Step 3: Cross multiply
    470,447.07x = 705,564.21 × 217,588.81
  4. Step 4: Simplify right side
    470,447.07x = 153,522,876,832.49
  5. Step 5: Solve for x
    x = 153,522,876,832.49/470,447.07
  6. Step 6: Final answer
    x = 326,334.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.