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Finding the Fourth Proportional to 411,345.68, 567,661.38 and 241,582.64

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Solution

The fourth proportional to 411,345.68, 567,661.38 and 241,582.64 is: 333,386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,345.68 : 567,661.38 = 241,582.64 : x
  2. Step 2: Convert to fraction form
    411,345.68/567,661.38 = 241,582.64/x
  3. Step 3: Cross multiply
    411,345.68x = 567,661.38 × 241,582.64
  4. Step 4: Simplify right side
    411,345.68x = 137,137,134,806.44
  5. Step 5: Solve for x
    x = 137,137,134,806.44/411,345.68
  6. Step 6: Final answer
    x = 333,386.59

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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.