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Finding the Fourth Proportional to 502,572.84, 693,712.08 and 321,771.72

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Solution

The fourth proportional to 502,572.84, 693,712.08 and 321,771.72 is: 444,148.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,572.84 : 693,712.08 = 321,771.72 : x
  2. Step 2: Convert to fraction form
    502,572.84/693,712.08 = 321,771.72/x
  3. Step 3: Cross multiply
    502,572.84x = 693,712.08 × 321,771.72
  4. Step 4: Simplify right side
    502,572.84x = 223,216,929,166.38
  5. Step 5: Solve for x
    x = 223,216,929,166.38/502,572.84
  6. Step 6: Final answer
    x = 444,148.41

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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.