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Finding the Fourth Proportional to 450,108.48, 620,938.24 and 321,075.48

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Solution

The fourth proportional to 450,108.48, 620,938.24 and 321,075.48 is: 442,933.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,108.48 : 620,938.24 = 321,075.48 : x
  2. Step 2: Convert to fraction form
    450,108.48/620,938.24 = 321,075.48/x
  3. Step 3: Cross multiply
    450,108.48x = 620,938.24 × 321,075.48
  4. Step 4: Simplify right side
    450,108.48x = 199,368,043,458.36
  5. Step 5: Solve for x
    x = 199,368,043,458.36/450,108.48
  6. Step 6: Final answer
    x = 442,933.32

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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.