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Finding the Fourth Proportional to 369,075.34, 509,323.96 and 199,309.46

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Solution

The fourth proportional to 369,075.34, 509,323.96 and 199,309.46 is: 275,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,075.34 : 509,323.96 = 199,309.46 : x
  2. Step 2: Convert to fraction form
    369,075.34/509,323.96 = 199,309.46/x
  3. Step 3: Cross multiply
    369,075.34x = 509,323.96 × 199,309.46
  4. Step 4: Simplify right side
    369,075.34x = 101,513,083,432.66
  5. Step 5: Solve for x
    x = 101,513,083,432.66/369,075.34
  6. Step 6: Final answer
    x = 275,047.05

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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.