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Finding the Fourth Proportional to 467,971.83, 645,801.25 and 264,065.97

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Solution

The fourth proportional to 467,971.83, 645,801.25 and 264,065.97 is: 364,411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,971.83 : 645,801.25 = 264,065.97 : x
  2. Step 2: Convert to fraction form
    467,971.83/645,801.25 = 264,065.97/x
  3. Step 3: Cross multiply
    467,971.83x = 645,801.25 × 264,065.97
  4. Step 4: Simplify right side
    467,971.83x = 170,534,133,508.46
  5. Step 5: Solve for x
    x = 170,534,133,508.46/467,971.83
  6. Step 6: Final answer
    x = 364,411.11

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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.