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Finding the Fourth Proportional to 501,964.16, 753,318.16 and 277,517.84

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Solution

The fourth proportional to 501,964.16, 753,318.16 and 277,517.84 is: 416,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,964.16 : 753,318.16 = 277,517.84 : x
  2. Step 2: Convert to fraction form
    501,964.16/753,318.16 = 277,517.84/x
  3. Step 3: Cross multiply
    501,964.16x = 753,318.16 × 277,517.84
  4. Step 4: Simplify right side
    501,964.16x = 209,059,228,595.97
  5. Step 5: Solve for x
    x = 209,059,228,595.97/501,964.16
  6. Step 6: Final answer
    x = 416,482.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.