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Finding the Fourth Proportional to 546,701.22, 819,336.20 and 293,685.98

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Solution

The fourth proportional to 546,701.22, 819,336.20 and 293,685.98 is: 440,144.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,701.22 : 819,336.20 = 293,685.98 : x
  2. Step 2: Convert to fraction form
    546,701.22/819,336.20 = 293,685.98/x
  3. Step 3: Cross multiply
    546,701.22x = 819,336.20 × 293,685.98
  4. Step 4: Simplify right side
    546,701.22x = 240,627,549,281.37
  5. Step 5: Solve for x
    x = 240,627,549,281.37/546,701.22
  6. Step 6: Final answer
    x = 440,144.53

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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.