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Finding the Fourth Proportional to 546,289.41, 819,670.15 and 293,274.44

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Solution

The fourth proportional to 546,289.41, 819,670.15 and 293,274.44 is: 440,038.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,289.41 : 819,670.15 = 293,274.44 : x
  2. Step 2: Convert to fraction form
    546,289.41/819,670.15 = 293,274.44/x
  3. Step 3: Cross multiply
    546,289.41x = 819,670.15 × 293,274.44
  4. Step 4: Simplify right side
    546,289.41x = 240,388,303,567.97
  5. Step 5: Solve for x
    x = 240,388,303,567.97/546,289.41
  6. Step 6: Final answer
    x = 440,038.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.