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Finding the Fourth Proportional to 370,030.67, 510,643.82 and 200,264.75

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Solution

The fourth proportional to 370,030.67, 510,643.82 and 200,264.75 is: 276,366.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,030.67 : 510,643.82 = 200,264.75 : x
  2. Step 2: Convert to fraction form
    370,030.67/510,643.82 = 200,264.75/x
  3. Step 3: Cross multiply
    370,030.67x = 510,643.82 × 200,264.75
  4. Step 4: Simplify right side
    370,030.67x = 102,263,956,951.35
  5. Step 5: Solve for x
    x = 102,263,956,951.35/370,030.67
  6. Step 6: Final answer
    x = 276,366.16

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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.