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Finding the Fourth Proportional to 542,673.40, 748,835.94 and 300,951.76

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Solution

The fourth proportional to 542,673.40, 748,835.94 and 300,951.76 is: 415,283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,673.40 : 748,835.94 = 300,951.76 : x
  2. Step 2: Convert to fraction form
    542,673.40/748,835.94 = 300,951.76/x
  3. Step 3: Cross multiply
    542,673.40x = 748,835.94 × 300,951.76
  4. Step 4: Simplify right side
    542,673.40x = 225,363,494,094.25
  5. Step 5: Solve for x
    x = 225,363,494,094.25/542,673.40
  6. Step 6: Final answer
    x = 415,283.84

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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.