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Finding the Fourth Proportional to 523,272, 785,025 and 190,848

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Solution

The fourth proportional to 523,272, 785,025 and 190,848 is: 286,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,272 : 785,025 = 190,848 : x
  2. Step 2: Convert to fraction form
    523,272/785,025 = 190,848/x
  3. Step 3: Cross multiply
    523,272x = 785,025 × 190,848
  4. Step 4: Simplify right side
    523,272x = 149,820,451,200
  5. Step 5: Solve for x
    x = 149,820,451,200/523,272
  6. Step 6: Final answer
    x = 286,314.67

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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.