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Finding the Fourth Proportional to 417,086.40, 625,629.60 and 364,598.40

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Solution

The fourth proportional to 417,086.40, 625,629.60 and 364,598.40 is: 546,897.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,086.40 : 625,629.60 = 364,598.40 : x
  2. Step 2: Convert to fraction form
    417,086.40/625,629.60 = 364,598.40/x
  3. Step 3: Cross multiply
    417,086.40x = 625,629.60 × 364,598.40
  4. Step 4: Simplify right side
    417,086.40x = 228,103,551,152.64
  5. Step 5: Solve for x
    x = 228,103,551,152.64/417,086.40
  6. Step 6: Final answer
    x = 546,897.60

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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.