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Finding the Fourth Proportional to 474,858, 712,287 and 142,434

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Solution

The fourth proportional to 474,858, 712,287 and 142,434 is: 213,651

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,858 : 712,287 = 142,434 : x
  2. Step 2: Convert to fraction form
    474,858/712,287 = 142,434/x
  3. Step 3: Cross multiply
    474,858x = 712,287 × 142,434
  4. Step 4: Simplify right side
    474,858x = 101,453,886,558
  5. Step 5: Solve for x
    x = 101,453,886,558/474,858
  6. Step 6: Final answer
    x = 213,651

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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.