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Finding the Fourth Proportional to 610,076.78, 841,956.33 and 338,229.94

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Solution

The fourth proportional to 610,076.78, 841,956.33 and 338,229.94 is: 466,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,076.78 : 841,956.33 = 338,229.94 : x
  2. Step 2: Convert to fraction form
    610,076.78/841,956.33 = 338,229.94/x
  3. Step 3: Cross multiply
    610,076.78x = 841,956.33 × 338,229.94
  4. Step 4: Simplify right side
    610,076.78x = 284,774,838,978.52
  5. Step 5: Solve for x
    x = 284,774,838,978.52/610,076.78
  6. Step 6: Final answer
    x = 466,785.24

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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.