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Finding the Fourth Proportional to 364,119.25, 502,278.76 and 227,916.76

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Solution

The fourth proportional to 364,119.25, 502,278.76 and 227,916.76 is: 314,396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,119.25 : 502,278.76 = 227,916.76 : x
  2. Step 2: Convert to fraction form
    364,119.25/502,278.76 = 227,916.76/x
  3. Step 3: Cross multiply
    364,119.25x = 502,278.76 × 227,916.76
  4. Step 4: Simplify right side
    364,119.25x = 114,477,747,596.02
  5. Step 5: Solve for x
    x = 114,477,747,596.02/364,119.25
  6. Step 6: Final answer
    x = 314,396.31

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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.