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Finding the Fourth Proportional to 403,749.80, 605,624.70 and 193,279.40

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Solution

The fourth proportional to 403,749.80, 605,624.70 and 193,279.40 is: 289,919.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,749.80 : 605,624.70 = 193,279.40 : x
  2. Step 2: Convert to fraction form
    403,749.80/605,624.70 = 193,279.40/x
  3. Step 3: Cross multiply
    403,749.80x = 605,624.70 × 193,279.40
  4. Step 4: Simplify right side
    403,749.80x = 117,054,778,641.18
  5. Step 5: Solve for x
    x = 117,054,778,641.18/403,749.80
  6. Step 6: Final answer
    x = 289,919.10

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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.