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Finding the Fourth Proportional to 417,026.40, 575,557.91 and 264,078.55

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Solution

The fourth proportional to 417,026.40, 575,557.91 and 264,078.55 is: 364,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,026.40 : 575,557.91 = 264,078.55 : x
  2. Step 2: Convert to fraction form
    417,026.40/575,557.91 = 264,078.55/x
  3. Step 3: Cross multiply
    417,026.40x = 575,557.91 × 264,078.55
  4. Step 4: Simplify right side
    417,026.40x = 151,992,498,313.83
  5. Step 5: Solve for x
    x = 151,992,498,313.83/417,026.40
  6. Step 6: Final answer
    x = 364,467.33

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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.