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Finding the Fourth Proportional to 595,424.51, 821,681.39 and 323,494.64

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Solution

The fourth proportional to 595,424.51, 821,681.39 and 323,494.64 is: 446,420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,424.51 : 821,681.39 = 323,494.64 : x
  2. Step 2: Convert to fraction form
    595,424.51/821,681.39 = 323,494.64/x
  3. Step 3: Cross multiply
    595,424.51x = 821,681.39 × 323,494.64
  4. Step 4: Simplify right side
    595,424.51x = 265,809,522,153.08
  5. Step 5: Solve for x
    x = 265,809,522,153.08/595,424.51
  6. Step 6: Final answer
    x = 446,420.19

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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.