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Finding the Fourth Proportional to 546,645.66, 819,402.57 and 265,813.98

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Solution

The fourth proportional to 546,645.66, 819,402.57 and 265,813.98 is: 398,445.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,645.66 : 819,402.57 = 265,813.98 : x
  2. Step 2: Convert to fraction form
    546,645.66/819,402.57 = 265,813.98/x
  3. Step 3: Cross multiply
    546,645.66x = 819,402.57 × 265,813.98
  4. Step 4: Simplify right side
    546,645.66x = 217,808,658,353.93
  5. Step 5: Solve for x
    x = 217,808,658,353.93/546,645.66
  6. Step 6: Final answer
    x = 398,445.78

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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.