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Finding the Fourth Proportional to 596,116, 822,223.44 and 392,102.56

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Solution

The fourth proportional to 596,116, 822,223.44 and 392,102.56 is: 540,827.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,116 : 822,223.44 = 392,102.56 : x
  2. Step 2: Convert to fraction form
    596,116/822,223.44 = 392,102.56/x
  3. Step 3: Cross multiply
    596,116x = 822,223.44 × 392,102.56
  4. Step 4: Simplify right side
    596,116x = 322,395,915,716.01
  5. Step 5: Solve for x
    x = 322,395,915,716.01/596,116
  6. Step 6: Final answer
    x = 540,827.48

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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.