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Finding the Fourth Proportional to 821,658.06, 1,133,775.27 and 459,036.54

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Solution

The fourth proportional to 821,658.06, 1,133,775.27 and 459,036.54 is: 633,407.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,658.06 : 1,133,775.27 = 459,036.54 : x
  2. Step 2: Convert to fraction form
    821,658.06/1,133,775.27 = 459,036.54/x
  3. Step 3: Cross multiply
    821,658.06x = 1,133,775.27 × 459,036.54
  4. Step 4: Simplify right side
    821,658.06x = 520,444,277,078.37
  5. Step 5: Solve for x
    x = 520,444,277,078.37/821,658.06
  6. Step 6: Final answer
    x = 633,407.38

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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.