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Finding the Fourth Proportional to 510,917.46, 705,013.14 and 314,652.88

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Solution

The fourth proportional to 510,917.46, 705,013.14 and 314,652.88 is: 434,188.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,917.46 : 705,013.14 = 314,652.88 : x
  2. Step 2: Convert to fraction form
    510,917.46/705,013.14 = 314,652.88/x
  3. Step 3: Cross multiply
    510,917.46x = 705,013.14 × 314,652.88
  4. Step 4: Simplify right side
    510,917.46x = 221,834,414,938.84
  5. Step 5: Solve for x
    x = 221,834,414,938.84/510,917.46
  6. Step 6: Final answer
    x = 434,188.36

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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.