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Finding the Fourth Proportional to 403,841.60, 605,762.40 and 123,322.40

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Solution

The fourth proportional to 403,841.60, 605,762.40 and 123,322.40 is: 184,983.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,841.60 : 605,762.40 = 123,322.40 : x
  2. Step 2: Convert to fraction form
    403,841.60/605,762.40 = 123,322.40/x
  3. Step 3: Cross multiply
    403,841.60x = 605,762.40 × 123,322.40
  4. Step 4: Simplify right side
    403,841.60x = 74,704,072,997.76
  5. Step 5: Solve for x
    x = 74,704,072,997.76/403,841.60
  6. Step 6: Final answer
    x = 184,983.60

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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.