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Finding the Fourth Proportional to 553,576.94, 763,778.13 and 311,774.93

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Solution

The fourth proportional to 553,576.94, 763,778.13 and 311,774.93 is: 430,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,576.94 : 763,778.13 = 311,774.93 : x
  2. Step 2: Convert to fraction form
    553,576.94/763,778.13 = 311,774.93/x
  3. Step 3: Cross multiply
    553,576.94x = 763,778.13 × 311,774.93
  4. Step 4: Simplify right side
    553,576.94x = 238,126,873,016.28
  5. Step 5: Solve for x
    x = 238,126,873,016.28/553,576.94
  6. Step 6: Final answer
    x = 430,160.39

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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.