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Finding the Fourth Proportional to 511,945.74, 706,625.66 and 297,155.00

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Solution

The fourth proportional to 511,945.74, 706,625.66 and 297,155.00 is: 410,155.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,945.74 : 706,625.66 = 297,155.00 : x
  2. Step 2: Convert to fraction form
    511,945.74/706,625.66 = 297,155.00/x
  3. Step 3: Cross multiply
    511,945.74x = 706,625.66 × 297,155.00
  4. Step 4: Simplify right side
    511,945.74x = 209,977,348,835.26
  5. Step 5: Solve for x
    x = 209,977,348,835.26/511,945.74
  6. Step 6: Final answer
    x = 410,155.48

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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.