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Finding the Fourth Proportional to 476,978.40, 658,292.40 and 307,704.96

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Solution

The fourth proportional to 476,978.40, 658,292.40 and 307,704.96 is: 424,672.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,978.40 : 658,292.40 = 307,704.96 : x
  2. Step 2: Convert to fraction form
    476,978.40/658,292.40 = 307,704.96/x
  3. Step 3: Cross multiply
    476,978.40x = 658,292.40 × 307,704.96
  4. Step 4: Simplify right side
    476,978.40x = 202,559,836,610.30
  5. Step 5: Solve for x
    x = 202,559,836,610.30/476,978.40
  6. Step 6: Final answer
    x = 424,672.98

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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.