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Finding the Fourth Proportional to 511,802.82, 705,540.24 and 358,357.50

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Solution

The fourth proportional to 511,802.82, 705,540.24 and 358,357.50 is: 494,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,802.82 : 705,540.24 = 358,357.50 : x
  2. Step 2: Convert to fraction form
    511,802.82/705,540.24 = 358,357.50/x
  3. Step 3: Cross multiply
    511,802.82x = 705,540.24 × 358,357.50
  4. Step 4: Simplify right side
    511,802.82x = 252,835,636,555.80
  5. Step 5: Solve for x
    x = 252,835,636,555.80/511,802.82
  6. Step 6: Final answer
    x = 494,009.85

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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.