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Finding the Fourth Proportional to 152,284, 228,426 and 41,476

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Solution

The fourth proportional to 152,284, 228,426 and 41,476 is: 62,214

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,284 : 228,426 = 41,476 : x
  2. Step 2: Convert to fraction form
    152,284/228,426 = 41,476/x
  3. Step 3: Cross multiply
    152,284x = 228,426 × 41,476
  4. Step 4: Simplify right side
    152,284x = 9,474,196,776
  5. Step 5: Solve for x
    x = 9,474,196,776/152,284
  6. Step 6: Final answer
    x = 62,214

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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.