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Finding the Fourth Proportional to 511,001.35, 705,025.73 and 296,099.89

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Solution

The fourth proportional to 511,001.35, 705,025.73 and 296,099.89 is: 408,527.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,001.35 : 705,025.73 = 296,099.89 : x
  2. Step 2: Convert to fraction form
    511,001.35/705,025.73 = 296,099.89/x
  3. Step 3: Cross multiply
    511,001.35x = 705,025.73 × 296,099.89
  4. Step 4: Simplify right side
    511,001.35x = 208,758,041,100.17
  5. Step 5: Solve for x
    x = 208,758,041,100.17/511,001.35
  6. Step 6: Final answer
    x = 408,527.38

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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.