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Finding the Fourth Proportional to 754,011.63, 1,040,509.67 and 414,477.45

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Solution

The fourth proportional to 754,011.63, 1,040,509.67 and 414,477.45 is: 571,964.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,011.63 : 1,040,509.67 = 414,477.45 : x
  2. Step 2: Convert to fraction form
    754,011.63/1,040,509.67 = 414,477.45/x
  3. Step 3: Cross multiply
    754,011.63x = 1,040,509.67 × 414,477.45
  4. Step 4: Simplify right side
    754,011.63x = 431,267,792,649.55
  5. Step 5: Solve for x
    x = 431,267,792,649.55/754,011.63
  6. Step 6: Final answer
    x = 571,964.38

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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.