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Finding the Fourth Proportional to 370,047.88, 510,667.63 and 200,282

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Solution

The fourth proportional to 370,047.88, 510,667.63 and 200,282 is: 276,390.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,047.88 : 510,667.63 = 200,282 : x
  2. Step 2: Convert to fraction form
    370,047.88/510,667.63 = 200,282/x
  3. Step 3: Cross multiply
    370,047.88x = 510,667.63 × 200,282
  4. Step 4: Simplify right side
    370,047.88x = 102,277,534,271.66
  5. Step 5: Solve for x
    x = 102,277,534,271.66/370,047.88
  6. Step 6: Final answer
    x = 276,390.01

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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.