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Finding the Fourth Proportional to 416,970.24, 575,114.85 and 264,033.33

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Solution

The fourth proportional to 416,970.24, 575,114.85 and 264,033.33 is: 364,173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,970.24 : 575,114.85 = 264,033.33 : x
  2. Step 2: Convert to fraction form
    416,970.24/575,114.85 = 264,033.33/x
  3. Step 3: Cross multiply
    416,970.24x = 575,114.85 × 264,033.33
  4. Step 4: Simplify right side
    416,970.24x = 151,849,488,977.95
  5. Step 5: Solve for x
    x = 151,849,488,977.95/416,970.24
  6. Step 6: Final answer
    x = 364,173.45

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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.