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Finding the Fourth Proportional to 563,103.50, 777,095.38 and 321,381.22

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Solution

The fourth proportional to 563,103.50, 777,095.38 and 321,381.22 is: 443,513.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,103.50 : 777,095.38 = 321,381.22 : x
  2. Step 2: Convert to fraction form
    563,103.50/777,095.38 = 321,381.22/x
  3. Step 3: Cross multiply
    563,103.50x = 777,095.38 × 321,381.22
  4. Step 4: Simplify right side
    563,103.50x = 249,743,861,280.76
  5. Step 5: Solve for x
    x = 249,743,861,280.76/563,103.50
  6. Step 6: Final answer
    x = 443,513.25

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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.