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Finding the Fourth Proportional to 523,602.28, 785,170.14 and 190,945

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Solution

The fourth proportional to 523,602.28, 785,170.14 and 190,945 is: 286,332.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,602.28 : 785,170.14 = 190,945 : x
  2. Step 2: Convert to fraction form
    523,602.28/785,170.14 = 190,945/x
  3. Step 3: Cross multiply
    523,602.28x = 785,170.14 × 190,945
  4. Step 4: Simplify right side
    523,602.28x = 149,924,312,382.30
  5. Step 5: Solve for x
    x = 149,924,312,382.30/523,602.28
  6. Step 6: Final answer
    x = 286,332.43

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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.