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Finding the Fourth Proportional to 659,828.20, 910,573.50 and 358,022.20

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Solution

The fourth proportional to 659,828.20, 910,573.50 and 358,022.20 is: 494,076.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,828.20 : 910,573.50 = 358,022.20 : x
  2. Step 2: Convert to fraction form
    659,828.20/910,573.50 = 358,022.20/x
  3. Step 3: Cross multiply
    659,828.20x = 910,573.50 × 358,022.20
  4. Step 4: Simplify right side
    659,828.20x = 326,005,527,731.70
  5. Step 5: Solve for x
    x = 326,005,527,731.70/659,828.20
  6. Step 6: Final answer
    x = 494,076.38

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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.