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Finding the Fourth Proportional to 509,673.16, 765,100.33 and 273,477.16

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Solution

The fourth proportional to 509,673.16, 765,100.33 and 273,477.16 is: 410,532.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,673.16 : 765,100.33 = 273,477.16 : x
  2. Step 2: Convert to fraction form
    509,673.16/765,100.33 = 273,477.16/x
  3. Step 3: Cross multiply
    509,673.16x = 765,100.33 × 273,477.16
  4. Step 4: Simplify right side
    509,673.16x = 209,237,467,174.45
  5. Step 5: Solve for x
    x = 209,237,467,174.45/509,673.16
  6. Step 6: Final answer
    x = 410,532.64

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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.