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Finding the Fourth Proportional to 633,078.73, 873,614.22 and 346,543.48

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Solution

The fourth proportional to 633,078.73, 873,614.22 and 346,543.48 is: 478,211.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,078.73 : 873,614.22 = 346,543.48 : x
  2. Step 2: Convert to fraction form
    633,078.73/873,614.22 = 346,543.48/x
  3. Step 3: Cross multiply
    633,078.73x = 873,614.22 × 346,543.48
  4. Step 4: Simplify right side
    633,078.73x = 302,745,311,976.29
  5. Step 5: Solve for x
    x = 302,745,311,976.29/633,078.73
  6. Step 6: Final answer
    x = 478,211.16

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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.