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Finding the Fourth Proportional to 341,227, 470,907.84 and 190,324

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Solution

The fourth proportional to 341,227, 470,907.84 and 190,324 is: 262,655.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,227 : 470,907.84 = 190,324 : x
  2. Step 2: Convert to fraction form
    341,227/470,907.84 = 190,324/x
  3. Step 3: Cross multiply
    341,227x = 470,907.84 × 190,324
  4. Step 4: Simplify right side
    341,227x = 89,625,063,740.16
  5. Step 5: Solve for x
    x = 89,625,063,740.16/341,227
  6. Step 6: Final answer
    x = 262,655.25

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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.