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Finding the Fourth Proportional to 370,664.76, 511,515.72 and 200,898.93

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Solution

The fourth proportional to 370,664.76, 511,515.72 and 200,898.93 is: 277,239.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,664.76 : 511,515.72 = 200,898.93 : x
  2. Step 2: Convert to fraction form
    370,664.76/511,515.72 = 200,898.93/x
  3. Step 3: Cross multiply
    370,664.76x = 511,515.72 × 200,898.93
  4. Step 4: Simplify right side
    370,664.76x = 102,762,960,826.18
  5. Step 5: Solve for x
    x = 102,762,960,826.18/370,664.76
  6. Step 6: Final answer
    x = 277,239.63

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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.