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Finding the Fourth Proportional to 511,870.35, 767,805.47 and 174,913.91

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Solution

The fourth proportional to 511,870.35, 767,805.47 and 174,913.91 is: 262,370.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,870.35 : 767,805.47 = 174,913.91 : x
  2. Step 2: Convert to fraction form
    511,870.35/767,805.47 = 174,913.91/x
  3. Step 3: Cross multiply
    511,870.35x = 767,805.47 × 174,913.91
  4. Step 4: Simplify right side
    511,870.35x = 134,299,852,163.49
  5. Step 5: Solve for x
    x = 134,299,852,163.49/511,870.35
  6. Step 6: Final answer
    x = 262,370.84

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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.