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Finding the Fourth Proportional to 1,215,604, 1,823,483.76 and 467,650

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Solution

The fourth proportional to 1,215,604, 1,823,483.76 and 467,650 is: 701,504.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215,604 : 1,823,483.76 = 467,650 : x
  2. Step 2: Convert to fraction form
    1,215,604/1,823,483.76 = 467,650/x
  3. Step 3: Cross multiply
    1,215,604x = 1,823,483.76 × 467,650
  4. Step 4: Simplify right side
    1,215,604x = 852,752,180,364
  5. Step 5: Solve for x
    x = 852,752,180,364/1,215,604
  6. Step 6: Final answer
    x = 701,504.91

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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.