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Finding the Fourth Proportional to 514,913.36, 710,377.70 and 321,208.34

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Solution

The fourth proportional to 514,913.36, 710,377.70 and 321,208.34 is: 443,141.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,913.36 : 710,377.70 = 321,208.34 : x
  2. Step 2: Convert to fraction form
    514,913.36/710,377.70 = 321,208.34/x
  3. Step 3: Cross multiply
    514,913.36x = 710,377.70 × 321,208.34
  4. Step 4: Simplify right side
    514,913.36x = 228,179,236,632.09
  5. Step 5: Solve for x
    x = 228,179,236,632.09/514,913.36
  6. Step 6: Final answer
    x = 443,141.03

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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.