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Finding the Fourth Proportional to 468,521.48, 646,533.42 and 264,559.16

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Solution

The fourth proportional to 468,521.48, 646,533.42 and 264,559.16 is: 365,076.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,521.48 : 646,533.42 = 264,559.16 : x
  2. Step 2: Convert to fraction form
    468,521.48/646,533.42 = 264,559.16/x
  3. Step 3: Cross multiply
    468,521.48x = 646,533.42 × 264,559.16
  4. Step 4: Simplify right side
    468,521.48x = 171,046,338,507.13
  5. Step 5: Solve for x
    x = 171,046,338,507.13/468,521.48
  6. Step 6: Final answer
    x = 365,076.83

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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.