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Finding the Fourth Proportional to 511,564.94, 767,406.66 and 170,038.89

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Solution

The fourth proportional to 511,564.94, 767,406.66 and 170,038.89 is: 255,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,564.94 : 767,406.66 = 170,038.89 : x
  2. Step 2: Convert to fraction form
    511,564.94/767,406.66 = 170,038.89/x
  3. Step 3: Cross multiply
    511,564.94x = 767,406.66 × 170,038.89
  4. Step 4: Simplify right side
    511,564.94x = 130,488,976,645.01
  5. Step 5: Solve for x
    x = 130,488,976,645.01/511,564.94
  6. Step 6: Final answer
    x = 255,078.03

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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.