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Finding the Fourth Proportional to 523,258.50, 785,004.75 and 190,834.50

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Solution

The fourth proportional to 523,258.50, 785,004.75 and 190,834.50 is: 286,294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,258.50 : 785,004.75 = 190,834.50 : x
  2. Step 2: Convert to fraction form
    523,258.50/785,004.75 = 190,834.50/x
  3. Step 3: Cross multiply
    523,258.50x = 785,004.75 × 190,834.50
  4. Step 4: Simplify right side
    523,258.50x = 149,805,988,963.88
  5. Step 5: Solve for x
    x = 149,805,988,963.88/523,258.50
  6. Step 6: Final answer
    x = 286,294.42

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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.