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Finding the Fourth Proportional to 370,886.34, 511,823.15 and 201,120.47

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Solution

The fourth proportional to 370,886.34, 511,823.15 and 201,120.47 is: 277,546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,886.34 : 511,823.15 = 201,120.47 : x
  2. Step 2: Convert to fraction form
    370,886.34/511,823.15 = 201,120.47/x
  3. Step 3: Cross multiply
    370,886.34x = 511,823.15 × 201,120.47
  4. Step 4: Simplify right side
    370,886.34x = 102,938,112,725.00
  5. Step 5: Solve for x
    x = 102,938,112,725.00/370,886.34
  6. Step 6: Final answer
    x = 277,546.25

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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.