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Finding the Fourth Proportional to 511,412.59, 767,197.71 and 174,374.41

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Solution

The fourth proportional to 511,412.59, 767,197.71 and 174,374.41 is: 261,588.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,412.59 : 767,197.71 = 174,374.41 : x
  2. Step 2: Convert to fraction form
    511,412.59/767,197.71 = 174,374.41/x
  3. Step 3: Cross multiply
    511,412.59x = 767,197.71 × 174,374.41
  4. Step 4: Simplify right side
    511,412.59x = 133,779,648,034.60
  5. Step 5: Solve for x
    x = 133,779,648,034.60/511,412.59
  6. Step 6: Final answer
    x = 261,588.49

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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.