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Finding the Fourth Proportional to 466,075.81, 698,670.78 and 297,121.96

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Solution

The fourth proportional to 466,075.81, 698,670.78 and 297,121.96 is: 445,400.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,075.81 : 698,670.78 = 297,121.96 : x
  2. Step 2: Convert to fraction form
    466,075.81/698,670.78 = 297,121.96/x
  3. Step 3: Cross multiply
    466,075.81x = 698,670.78 × 297,121.96
  4. Step 4: Simplify right side
    466,075.81x = 207,590,431,548.33
  5. Step 5: Solve for x
    x = 207,590,431,548.33/466,075.81
  6. Step 6: Final answer
    x = 445,400.57

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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.