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Finding the Fourth Proportional to 369,893.76, 510,449.76 and 200,124.24

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Solution

The fourth proportional to 369,893.76, 510,449.76 and 200,124.24 is: 276,169.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,893.76 : 510,449.76 = 200,124.24 : x
  2. Step 2: Convert to fraction form
    369,893.76/510,449.76 = 200,124.24/x
  3. Step 3: Cross multiply
    369,893.76x = 510,449.76 × 200,124.24
  4. Step 4: Simplify right side
    369,893.76x = 102,153,370,278.18
  5. Step 5: Solve for x
    x = 102,153,370,278.18/369,893.76
  6. Step 6: Final answer
    x = 276,169.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.