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Finding the Fourth Proportional to 583,568.10, 805,307.94 and 325,452.78

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Solution

The fourth proportional to 583,568.10, 805,307.94 and 325,452.78 is: 449,115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,568.10 : 805,307.94 = 325,452.78 : x
  2. Step 2: Convert to fraction form
    583,568.10/805,307.94 = 325,452.78/x
  3. Step 3: Cross multiply
    583,568.10x = 805,307.94 × 325,452.78
  4. Step 4: Simplify right side
    583,568.10x = 262,089,707,829.07
  5. Step 5: Solve for x
    x = 262,089,707,829.07/583,568.10
  6. Step 6: Final answer
    x = 449,115.89

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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.