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Finding the Fourth Proportional to 369,075.96, 509,324.83 and 199,310.09

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Solution

The fourth proportional to 369,075.96, 509,324.83 and 199,310.09 is: 275,047.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,075.96 : 509,324.83 = 199,310.09 : x
  2. Step 2: Convert to fraction form
    369,075.96/509,324.83 = 199,310.09/x
  3. Step 3: Cross multiply
    369,075.96x = 509,324.83 × 199,310.09
  4. Step 4: Simplify right side
    369,075.96x = 101,513,574,661.64
  5. Step 5: Solve for x
    x = 101,513,574,661.64/369,075.96
  6. Step 6: Final answer
    x = 275,047.92

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1.5x scale

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.