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Finding the Fourth Proportional to 511,673.31, 767,686.95 and 174,951.00

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Solution

The fourth proportional to 511,673.31, 767,686.95 and 174,951.00 is: 262,487.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,673.31 : 767,686.95 = 174,951.00 : x
  2. Step 2: Convert to fraction form
    511,673.31/767,686.95 = 174,951.00/x
  3. Step 3: Cross multiply
    511,673.31x = 767,686.95 × 174,951.00
  4. Step 4: Simplify right side
    511,673.31x = 134,307,600,299.97
  5. Step 5: Solve for x
    x = 134,307,600,299.97/511,673.31
  6. Step 6: Final answer
    x = 262,487.02

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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.