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Finding the Fourth Proportional to 563,141.16, 776,940.54 and 321,249.24

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Solution

The fourth proportional to 563,141.16, 776,940.54 and 321,249.24 is: 443,213.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,141.16 : 776,940.54 = 321,249.24 : x
  2. Step 2: Convert to fraction form
    563,141.16/776,940.54 = 321,249.24/x
  3. Step 3: Cross multiply
    563,141.16x = 776,940.54 × 321,249.24
  4. Step 4: Simplify right side
    563,141.16x = 249,591,558,000.19
  5. Step 5: Solve for x
    x = 249,591,558,000.19/563,141.16
  6. Step 6: Final answer
    x = 443,213.13

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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.