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Finding the Fourth Proportional to 416,970.28, 575,480.75 and 264,022.69

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Solution

The fourth proportional to 416,970.28, 575,480.75 and 264,022.69 is: 364,390.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,970.28 : 575,480.75 = 264,022.69 : x
  2. Step 2: Convert to fraction form
    416,970.28/575,480.75 = 264,022.69/x
  3. Step 3: Cross multiply
    416,970.28x = 575,480.75 × 264,022.69
  4. Step 4: Simplify right side
    416,970.28x = 151,939,975,463.56
  5. Step 5: Solve for x
    x = 151,939,975,463.56/416,970.28
  6. Step 6: Final answer
    x = 364,390.42

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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.