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Finding the Fourth Proportional to 546,367.66, 819,267.14 and 209,307.22

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Solution

The fourth proportional to 546,367.66, 819,267.14 and 209,307.22 is: 313,851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,367.66 : 819,267.14 = 209,307.22 : x
  2. Step 2: Convert to fraction form
    546,367.66/819,267.14 = 209,307.22/x
  3. Step 3: Cross multiply
    546,367.66x = 819,267.14 × 209,307.22
  4. Step 4: Simplify right side
    546,367.66x = 171,478,527,510.75
  5. Step 5: Solve for x
    x = 171,478,527,510.75/546,367.66
  6. Step 6: Final answer
    x = 313,851.90

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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.