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Finding the Fourth Proportional to 511,807.96, 705,929.34 and 443,703.16

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Solution

The fourth proportional to 511,807.96, 705,929.34 and 443,703.16 is: 611,993.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,807.96 : 705,929.34 = 443,703.16 : x
  2. Step 2: Convert to fraction form
    511,807.96/705,929.34 = 443,703.16/x
  3. Step 3: Cross multiply
    511,807.96x = 705,929.34 × 443,703.16
  4. Step 4: Simplify right side
    511,807.96x = 313,223,078,894.71
  5. Step 5: Solve for x
    x = 313,223,078,894.71/511,807.96
  6. Step 6: Final answer
    x = 611,993.37

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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.