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Finding the Fourth Proportional to 370,951.20, 511,913.25 and 201,185.46

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Solution

The fourth proportional to 370,951.20, 511,913.25 and 201,185.46 is: 277,636.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,951.20 : 511,913.25 = 201,185.46 : x
  2. Step 2: Convert to fraction form
    370,951.20/511,913.25 = 201,185.46/x
  3. Step 3: Cross multiply
    370,951.20x = 511,913.25 × 201,185.46
  4. Step 4: Simplify right side
    370,951.20x = 102,989,502,681.35
  5. Step 5: Solve for x
    x = 102,989,502,681.35/370,951.20
  6. Step 6: Final answer
    x = 277,636.26

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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.