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Finding the Fourth Proportional to 546,363.66, 819,261.15 and 209,303.22

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Solution

The fourth proportional to 546,363.66, 819,261.15 and 209,303.22 is: 313,845.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,363.66 : 819,261.15 = 209,303.22 : x
  2. Step 2: Convert to fraction form
    546,363.66/819,261.15 = 209,303.22/x
  3. Step 3: Cross multiply
    546,363.66x = 819,261.15 × 209,303.22
  4. Step 4: Simplify right side
    546,363.66x = 171,473,996,715.90
  5. Step 5: Solve for x
    x = 171,473,996,715.90/546,363.66
  6. Step 6: Final answer
    x = 313,845.90

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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.