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Finding the Fourth Proportional to 733,897.60, 1,099,485.60 and 417,414.40

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Solution

The fourth proportional to 733,897.60, 1,099,485.60 and 417,414.40 is: 625,347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,897.60 : 1,099,485.60 = 417,414.40 : x
  2. Step 2: Convert to fraction form
    733,897.60/1,099,485.60 = 417,414.40/x
  3. Step 3: Cross multiply
    733,897.60x = 1,099,485.60 × 417,414.40
  4. Step 4: Simplify right side
    733,897.60x = 458,941,122,032.64
  5. Step 5: Solve for x
    x = 458,941,122,032.64/733,897.60
  6. Step 6: Final answer
    x = 625,347.63

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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.