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Finding the Fourth Proportional to 598,264.35, 825,909.67 and 461,992.38

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Solution

The fourth proportional to 598,264.35, 825,909.67 and 461,992.38 is: 637,784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,264.35 : 825,909.67 = 461,992.38 : x
  2. Step 2: Convert to fraction form
    598,264.35/825,909.67 = 461,992.38/x
  3. Step 3: Cross multiply
    598,264.35x = 825,909.67 × 461,992.38
  4. Step 4: Simplify right side
    598,264.35x = 381,563,975,210.87
  5. Step 5: Solve for x
    x = 381,563,975,210.87/598,264.35
  6. Step 6: Final answer
    x = 637,784.91

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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.