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Finding the Fourth Proportional to 310,948.54, 429,219.78 and 183,624.64

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Solution

The fourth proportional to 310,948.54, 429,219.78 and 183,624.64 is: 253,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,948.54 : 429,219.78 = 183,624.64 : x
  2. Step 2: Convert to fraction form
    310,948.54/429,219.78 = 183,624.64/x
  3. Step 3: Cross multiply
    310,948.54x = 429,219.78 × 183,624.64
  4. Step 4: Simplify right side
    310,948.54x = 78,815,327,583.38
  5. Step 5: Solve for x
    x = 78,815,327,583.38/310,948.54
  6. Step 6: Final answer
    x = 253,467.43

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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.