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Finding the Fourth Proportional to 550,715.38, 760,000.31 and 309,015.82

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Solution

The fourth proportional to 550,715.38, 760,000.31 and 309,015.82 is: 426,449.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,715.38 : 760,000.31 = 309,015.82 : x
  2. Step 2: Convert to fraction form
    550,715.38/760,000.31 = 309,015.82/x
  3. Step 3: Cross multiply
    550,715.38x = 760,000.31 × 309,015.82
  4. Step 4: Simplify right side
    550,715.38x = 234,852,118,994.90
  5. Step 5: Solve for x
    x = 234,852,118,994.90/550,715.38
  6. Step 6: Final answer
    x = 426,449.18

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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.