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Finding the Fourth Proportional to 838,765.13, 1,157,422.77 and 476,204.27

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Solution

The fourth proportional to 838,765.13, 1,157,422.77 and 476,204.27 is: 657,120.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,765.13 : 1,157,422.77 = 476,204.27 : x
  2. Step 2: Convert to fraction form
    838,765.13/1,157,422.77 = 476,204.27/x
  3. Step 3: Cross multiply
    838,765.13x = 1,157,422.77 × 476,204.27
  4. Step 4: Simplify right side
    838,765.13x = 551,169,659,482.11
  5. Step 5: Solve for x
    x = 551,169,659,482.11/838,765.13
  6. Step 6: Final answer
    x = 657,120.38

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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.