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Finding the Fourth Proportional to 370,258.52, 510,959.21 and 200,492.64

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Solution

The fourth proportional to 370,258.52, 510,959.21 and 200,492.64 is: 276,681.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,258.52 : 510,959.21 = 200,492.64 : x
  2. Step 2: Convert to fraction form
    370,258.52/510,959.21 = 200,492.64/x
  3. Step 3: Cross multiply
    370,258.52x = 510,959.21 × 200,492.64
  4. Step 4: Simplify right side
    370,258.52x = 102,443,559,942.75
  5. Step 5: Solve for x
    x = 102,443,559,942.75/370,258.52
  6. Step 6: Final answer
    x = 276,681.17

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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.