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Finding the Fourth Proportional to 850,842, 1,174,156.92 and 463,656.60

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Solution

The fourth proportional to 850,842, 1,174,156.92 and 463,656.60 is: 639,843.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,842 : 1,174,156.92 = 463,656.60 : x
  2. Step 2: Convert to fraction form
    850,842/1,174,156.92 = 463,656.60/x
  3. Step 3: Cross multiply
    850,842x = 1,174,156.92 × 463,656.60
  4. Step 4: Simplify right side
    850,842x = 544,405,605,393.67
  5. Step 5: Solve for x
    x = 544,405,605,393.67/850,842
  6. Step 6: Final answer
    x = 639,843.36

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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.