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Finding the Fourth Proportional to 563,605.47, 777,829.37 and 321,924.15

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Solution

The fourth proportional to 563,605.47, 777,829.37 and 321,924.15 is: 444,286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,605.47 : 777,829.37 = 321,924.15 : x
  2. Step 2: Convert to fraction form
    563,605.47/777,829.37 = 321,924.15/x
  3. Step 3: Cross multiply
    563,605.47x = 777,829.37 × 321,924.15
  4. Step 4: Simplify right side
    563,605.47x = 250,402,057,172.67
  5. Step 5: Solve for x
    x = 250,402,057,172.67/563,605.47
  6. Step 6: Final answer
    x = 444,286.07

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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.