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Finding the Fourth Proportional to 523,285, 785,044.50 and 190,861

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Solution

The fourth proportional to 523,285, 785,044.50 and 190,861 is: 286,334.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,285 : 785,044.50 = 190,861 : x
  2. Step 2: Convert to fraction form
    523,285/785,044.50 = 190,861/x
  3. Step 3: Cross multiply
    523,285x = 785,044.50 × 190,861
  4. Step 4: Simplify right side
    523,285x = 149,834,378,314.50
  5. Step 5: Solve for x
    x = 149,834,378,314.50/523,285
  6. Step 6: Final answer
    x = 286,334.17

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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.