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Finding the Fourth Proportional to 369,925.92, 510,497.73 and 200,160

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Solution

The fourth proportional to 369,925.92, 510,497.73 and 200,160 is: 276,220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,925.92 : 510,497.73 = 200,160 : x
  2. Step 2: Convert to fraction form
    369,925.92/510,497.73 = 200,160/x
  3. Step 3: Cross multiply
    369,925.92x = 510,497.73 × 200,160
  4. Step 4: Simplify right side
    369,925.92x = 102,181,225,636.80
  5. Step 5: Solve for x
    x = 102,181,225,636.80/369,925.92
  6. Step 6: Final answer
    x = 276,220.78

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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.