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Finding the Fourth Proportional to 423,877.54, 584,950.53 and 232,890.46

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Solution

The fourth proportional to 423,877.54, 584,950.53 and 232,890.46 is: 321,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,877.54 : 584,950.53 = 232,890.46 : x
  2. Step 2: Convert to fraction form
    423,877.54/584,950.53 = 232,890.46/x
  3. Step 3: Cross multiply
    423,877.54x = 584,950.53 × 232,890.46
  4. Step 4: Simplify right side
    423,877.54x = 136,229,398,008.94
  5. Step 5: Solve for x
    x = 136,229,398,008.94/423,877.54
  6. Step 6: Final answer
    x = 321,388.57

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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.