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Finding the Fourth Proportional to 370,254.84, 510,951.63 and 200,488.98

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Solution

The fourth proportional to 370,254.84, 510,951.63 and 200,488.98 is: 276,674.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,254.84 : 510,951.63 = 200,488.98 : x
  2. Step 2: Convert to fraction form
    370,254.84/510,951.63 = 200,488.98/x
  3. Step 3: Cross multiply
    370,254.84x = 510,951.63 × 200,488.98
  4. Step 4: Simplify right side
    370,254.84x = 102,440,171,128.04
  5. Step 5: Solve for x
    x = 102,440,171,128.04/370,254.84
  6. Step 6: Final answer
    x = 276,674.77

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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.