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Finding the Fourth Proportional to 523,628, 785,426.30 and 144,571.88

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Solution

The fourth proportional to 523,628, 785,426.30 and 144,571.88 is: 216,853.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,628 : 785,426.30 = 144,571.88 : x
  2. Step 2: Convert to fraction form
    523,628/785,426.30 = 144,571.88/x
  3. Step 3: Cross multiply
    523,628x = 785,426.30 × 144,571.88
  4. Step 4: Simplify right side
    523,628x = 113,550,556,792.44
  5. Step 5: Solve for x
    x = 113,550,556,792.44/523,628
  6. Step 6: Final answer
    x = 216,853.49

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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.