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Finding the Fourth Proportional to 563,851.81, 777,362.70 and 447,949.81

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Solution

The fourth proportional to 563,851.81, 777,362.70 and 447,949.81 is: 617,572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,851.81 : 777,362.70 = 447,949.81 : x
  2. Step 2: Convert to fraction form
    563,851.81/777,362.70 = 447,949.81/x
  3. Step 3: Cross multiply
    563,851.81x = 777,362.70 × 447,949.81
  4. Step 4: Simplify right side
    563,851.81x = 348,219,473,766.09
  5. Step 5: Solve for x
    x = 348,219,473,766.09/563,851.81
  6. Step 6: Final answer
    x = 617,572.68

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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.