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Finding the Fourth Proportional to 857,620.20, 1,183,588.56 and 475,770

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Solution

The fourth proportional to 857,620.20, 1,183,588.56 and 475,770 is: 656,602.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,620.20 : 1,183,588.56 = 475,770 : x
  2. Step 2: Convert to fraction form
    857,620.20/1,183,588.56 = 475,770/x
  3. Step 3: Cross multiply
    857,620.20x = 1,183,588.56 × 475,770
  4. Step 4: Simplify right side
    857,620.20x = 563,115,929,191.20
  5. Step 5: Solve for x
    x = 563,115,929,191.20/857,620.20
  6. Step 6: Final answer
    x = 656,602.92

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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.