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Finding the Fourth Proportional to 320,202.50, 441,879.98 and 176,962.50

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Solution

The fourth proportional to 320,202.50, 441,879.98 and 176,962.50 is: 244,208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,202.50 : 441,879.98 = 176,962.50 : x
  2. Step 2: Convert to fraction form
    320,202.50/441,879.98 = 176,962.50/x
  3. Step 3: Cross multiply
    320,202.50x = 441,879.98 × 176,962.50
  4. Step 4: Simplify right side
    320,202.50x = 78,196,185,075.94
  5. Step 5: Solve for x
    x = 78,196,185,075.94/320,202.50
  6. Step 6: Final answer
    x = 244,208.54

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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.