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Finding the Fourth Proportional to 370,478.62, 511,072.59 and 234,283.06

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Solution

The fourth proportional to 370,478.62, 511,072.59 and 234,283.06 is: 323,191.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,478.62 : 511,072.59 = 234,283.06 : x
  2. Step 2: Convert to fraction form
    370,478.62/511,072.59 = 234,283.06/x
  3. Step 3: Cross multiply
    370,478.62x = 511,072.59 × 234,283.06
  4. Step 4: Simplify right side
    370,478.62x = 119,735,650,267.33
  5. Step 5: Solve for x
    x = 119,735,650,267.33/370,478.62
  6. Step 6: Final answer
    x = 323,191.80

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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.