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Finding the Fourth Proportional to 523,605.28, 785,174.64 and 190,948

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Solution

The fourth proportional to 523,605.28, 785,174.64 and 190,948 is: 286,336.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,605.28 : 785,174.64 = 190,948 : x
  2. Step 2: Convert to fraction form
    523,605.28/785,174.64 = 190,948/x
  3. Step 3: Cross multiply
    523,605.28x = 785,174.64 × 190,948
  4. Step 4: Simplify right side
    523,605.28x = 149,927,527,158.72
  5. Step 5: Solve for x
    x = 149,927,527,158.72/523,605.28
  6. Step 6: Final answer
    x = 286,336.93

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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.