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Finding the Fourth Proportional to 291,907.73, 402,832.74 and 164,583.33

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Solution

The fourth proportional to 291,907.73, 402,832.74 and 164,583.33 is: 227,125.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,907.73 : 402,832.74 = 164,583.33 : x
  2. Step 2: Convert to fraction form
    291,907.73/402,832.74 = 164,583.33/x
  3. Step 3: Cross multiply
    291,907.73x = 402,832.74 × 164,583.33
  4. Step 4: Simplify right side
    291,907.73x = 66,299,552,888.79
  5. Step 5: Solve for x
    x = 66,299,552,888.79/291,907.73
  6. Step 6: Final answer
    x = 227,125.03

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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.