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Finding the Fourth Proportional to 659,898.16, 910,659.44 and 358,092.16

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Solution

The fourth proportional to 659,898.16, 910,659.44 and 358,092.16 is: 494,167.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,898.16 : 910,659.44 = 358,092.16 : x
  2. Step 2: Convert to fraction form
    659,898.16/910,659.44 = 358,092.16/x
  3. Step 3: Cross multiply
    659,898.16x = 910,659.44 × 358,092.16
  4. Step 4: Simplify right side
    659,898.16x = 326,100,004,512.57
  5. Step 5: Solve for x
    x = 326,100,004,512.57/659,898.16
  6. Step 6: Final answer
    x = 494,167.17

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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.