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Finding the Fourth Proportional to 546,470.80, 819,422.52 and 209,411.44

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Solution

The fourth proportional to 546,470.80, 819,422.52 and 209,411.44 is: 314,008.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,470.80 : 819,422.52 = 209,411.44 : x
  2. Step 2: Convert to fraction form
    546,470.80/819,422.52 = 209,411.44/x
  3. Step 3: Cross multiply
    546,470.80x = 819,422.52 × 209,411.44
  4. Step 4: Simplify right side
    546,470.80x = 171,596,449,881.63
  5. Step 5: Solve for x
    x = 171,596,449,881.63/546,470.80
  6. Step 6: Final answer
    x = 314,008.45

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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.