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Finding the Fourth Proportional to 471,667.57, 650,830.47 and 264,928.03

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Solution

The fourth proportional to 471,667.57, 650,830.47 and 264,928.03 is: 365,560.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,667.57 : 650,830.47 = 264,928.03 : x
  2. Step 2: Convert to fraction form
    471,667.57/650,830.47 = 264,928.03/x
  3. Step 3: Cross multiply
    471,667.57x = 650,830.47 × 264,928.03
  4. Step 4: Simplify right side
    471,667.57x = 172,423,234,281.07
  5. Step 5: Solve for x
    x = 172,423,234,281.07/471,667.57
  6. Step 6: Final answer
    x = 365,560.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.