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Finding the Fourth Proportional to 413,573.84, 619,488.92 and 189,123.17

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Solution

The fourth proportional to 413,573.84, 619,488.92 and 189,123.17 is: 283,286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,573.84 : 619,488.92 = 189,123.17 : x
  2. Step 2: Convert to fraction form
    413,573.84/619,488.92 = 189,123.17/x
  3. Step 3: Cross multiply
    413,573.84x = 619,488.92 × 189,123.17
  4. Step 4: Simplify right side
    413,573.84x = 117,159,710,351.81
  5. Step 5: Solve for x
    x = 117,159,710,351.81/413,573.84
  6. Step 6: Final answer
    x = 283,286.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.