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Finding the Fourth Proportional to 369,712.68, 510,203.52 and 199,946.76

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Solution

The fourth proportional to 369,712.68, 510,203.52 and 199,946.76 is: 275,926.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,712.68 : 510,203.52 = 199,946.76 : x
  2. Step 2: Convert to fraction form
    369,712.68/510,203.52 = 199,946.76/x
  3. Step 3: Cross multiply
    369,712.68x = 510,203.52 × 199,946.76
  4. Step 4: Simplify right side
    369,712.68x = 102,013,540,764.60
  5. Step 5: Solve for x
    x = 102,013,540,764.60/369,712.68
  6. Step 6: Final answer
    x = 275,926.54

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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.