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Finding the Fourth Proportional to 656,907.60, 984,632.40 and 257,415.60

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Solution

The fourth proportional to 656,907.60, 984,632.40 and 257,415.60 is: 385,837.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,907.60 : 984,632.40 = 257,415.60 : x
  2. Step 2: Convert to fraction form
    656,907.60/984,632.40 = 257,415.60/x
  3. Step 3: Cross multiply
    656,907.60x = 984,632.40 × 257,415.60
  4. Step 4: Simplify right side
    656,907.60x = 253,459,740,025.44
  5. Step 5: Solve for x
    x = 253,459,740,025.44/656,907.60
  6. Step 6: Final answer
    x = 385,837.73

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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.