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Finding the Fourth Proportional to 334,338.96, 501,953.08 and 194,198.16

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Solution

The fourth proportional to 334,338.96, 501,953.08 and 194,198.16 is: 291,555.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,338.96 : 501,953.08 = 194,198.16 : x
  2. Step 2: Convert to fraction form
    334,338.96/501,953.08 = 194,198.16/x
  3. Step 3: Cross multiply
    334,338.96x = 501,953.08 × 194,198.16
  4. Step 4: Simplify right side
    334,338.96x = 97,478,364,542.33
  5. Step 5: Solve for x
    x = 97,478,364,542.33/334,338.96
  6. Step 6: Final answer
    x = 291,555.51

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1.5x scale

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.