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Finding the Fourth Proportional to 502,931.88, 694,032.12 and 276,577.38

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Solution

The fourth proportional to 502,931.88, 694,032.12 and 276,577.38 is: 381,669.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,931.88 : 694,032.12 = 276,577.38 : x
  2. Step 2: Convert to fraction form
    502,931.88/694,032.12 = 276,577.38/x
  3. Step 3: Cross multiply
    502,931.88x = 694,032.12 × 276,577.38
  4. Step 4: Simplify right side
    502,931.88x = 191,953,585,385.45
  5. Step 5: Solve for x
    x = 191,953,585,385.45/502,931.88
  6. Step 6: Final answer
    x = 381,669.15

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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.