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Finding the Fourth Proportional to 403,594.32, 605,389.80 and 123,110.64

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Solution

The fourth proportional to 403,594.32, 605,389.80 and 123,110.64 is: 184,665.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,594.32 : 605,389.80 = 123,110.64 : x
  2. Step 2: Convert to fraction form
    403,594.32/605,389.80 = 123,110.64/x
  3. Step 3: Cross multiply
    403,594.32x = 605,389.80 × 123,110.64
  4. Step 4: Simplify right side
    403,594.32x = 74,529,925,727.47
  5. Step 5: Solve for x
    x = 74,529,925,727.47/403,594.32
  6. Step 6: Final answer
    x = 184,665.45

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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.