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Finding the Fourth Proportional to 310,864.98, 429,009.46 and 183,537.84

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Solution

The fourth proportional to 310,864.98, 429,009.46 and 183,537.84 is: 253,291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,864.98 : 429,009.46 = 183,537.84 : x
  2. Step 2: Convert to fraction form
    310,864.98/429,009.46 = 183,537.84/x
  3. Step 3: Cross multiply
    310,864.98x = 429,009.46 × 183,537.84
  4. Step 4: Simplify right side
    310,864.98x = 78,739,469,627.97
  5. Step 5: Solve for x
    x = 78,739,469,627.97/310,864.98
  6. Step 6: Final answer
    x = 253,291.54

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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.