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Finding the Fourth Proportional to 341,564.04, 470,314.94 and 309,524.49

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Solution

The fourth proportional to 341,564.04, 470,314.94 and 309,524.49 is: 426,198.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,564.04 : 470,314.94 = 309,524.49 : x
  2. Step 2: Convert to fraction form
    341,564.04/470,314.94 = 309,524.49/x
  3. Step 3: Cross multiply
    341,564.04x = 470,314.94 × 309,524.49
  4. Step 4: Simplify right side
    341,564.04x = 145,573,990,395.26
  5. Step 5: Solve for x
    x = 145,573,990,395.26/341,564.04
  6. Step 6: Final answer
    x = 426,198.23

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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.