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Finding the Fourth Proportional to 473,986.32, 654,074.64 and 259,083.60

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Solution

The fourth proportional to 473,986.32, 654,074.64 and 259,083.60 is: 357,520.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,986.32 : 654,074.64 = 259,083.60 : x
  2. Step 2: Convert to fraction form
    473,986.32/654,074.64 = 259,083.60/x
  3. Step 3: Cross multiply
    473,986.32x = 654,074.64 × 259,083.60
  4. Step 4: Simplify right side
    473,986.32x = 169,460,012,399.90
  5. Step 5: Solve for x
    x = 169,460,012,399.90/473,986.32
  6. Step 6: Final answer
    x = 357,520.89

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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.