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Finding the Fourth Proportional to 364,114.51, 502,272.23 and 227,912.00

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Solution

The fourth proportional to 364,114.51, 502,272.23 and 227,912.00 is: 314,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,114.51 : 502,272.23 = 227,912.00 : x
  2. Step 2: Convert to fraction form
    364,114.51/502,272.23 = 227,912.00/x
  3. Step 3: Cross multiply
    364,114.51x = 502,272.23 × 227,912.00
  4. Step 4: Simplify right side
    364,114.51x = 114,473,864,832.84
  5. Step 5: Solve for x
    x = 114,473,864,832.84/364,114.51
  6. Step 6: Final answer
    x = 314,389.74

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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.