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Finding the Fourth Proportional to 599,894.10, 827,123.40 and 565,120.80

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Solution

The fourth proportional to 599,894.10, 827,123.40 and 565,120.80 is: 779,178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,894.10 : 827,123.40 = 565,120.80 : x
  2. Step 2: Convert to fraction form
    599,894.10/827,123.40 = 565,120.80/x
  3. Step 3: Cross multiply
    599,894.10x = 827,123.40 × 565,120.80
  4. Step 4: Simplify right side
    599,894.10x = 467,424,637,506.72
  5. Step 5: Solve for x
    x = 467,424,637,506.72/599,894.10
  6. Step 6: Final answer
    x = 779,178.59

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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.