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Finding the Fourth Proportional to 546,009.80, 819,014.70 and 488,929.10

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Solution

The fourth proportional to 546,009.80, 819,014.70 and 488,929.10 is: 733,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,009.80 : 819,014.70 = 488,929.10 : x
  2. Step 2: Convert to fraction form
    546,009.80/819,014.70 = 488,929.10/x
  3. Step 3: Cross multiply
    546,009.80x = 819,014.70 × 488,929.10
  4. Step 4: Simplify right side
    546,009.80x = 400,440,120,157.77
  5. Step 5: Solve for x
    x = 400,440,120,157.77/546,009.80
  6. Step 6: Final answer
    x = 733,393.65

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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.