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Finding the Fourth Proportional to 382,767.59, 574,362.80 and 158,075.75

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Solution

The fourth proportional to 382,767.59, 574,362.80 and 158,075.75 is: 237,200.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,767.59 : 574,362.80 = 158,075.75 : x
  2. Step 2: Convert to fraction form
    382,767.59/574,362.80 = 158,075.75/x
  3. Step 3: Cross multiply
    382,767.59x = 574,362.80 × 158,075.75
  4. Step 4: Simplify right side
    382,767.59x = 90,792,830,382.10
  5. Step 5: Solve for x
    x = 90,792,830,382.10/382,767.59
  6. Step 6: Final answer
    x = 237,200.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.