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Finding the Fourth Proportional to 511,813.98, 706,074.90 and 296,829.54

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Solution

The fourth proportional to 511,813.98, 706,074.90 and 296,829.54 is: 409,492.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,813.98 : 706,074.90 = 296,829.54 : x
  2. Step 2: Convert to fraction form
    511,813.98/706,074.90 = 296,829.54/x
  3. Step 3: Cross multiply
    511,813.98x = 706,074.90 × 296,829.54
  4. Step 4: Simplify right side
    511,813.98x = 209,583,887,772.55
  5. Step 5: Solve for x
    x = 209,583,887,772.55/511,813.98
  6. Step 6: Final answer
    x = 409,492.31

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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.