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Finding the Fourth Proportional to 403,199.40, 604,690.62 and 122,641.32

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Solution

The fourth proportional to 403,199.40, 604,690.62 and 122,641.32 is: 183,928.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,199.40 : 604,690.62 = 122,641.32 : x
  2. Step 2: Convert to fraction form
    403,199.40/604,690.62 = 122,641.32/x
  3. Step 3: Cross multiply
    403,199.40x = 604,690.62 × 122,641.32
  4. Step 4: Simplify right side
    403,199.40x = 74,160,055,828.42
  5. Step 5: Solve for x
    x = 74,160,055,828.42/403,199.40
  6. Step 6: Final answer
    x = 183,928.98

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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.