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Finding the Fourth Proportional to 464,947.96, 696,756.50 and 264,854.93

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Solution

The fourth proportional to 464,947.96, 696,756.50 and 264,854.93 is: 396,903.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,947.96 : 696,756.50 = 264,854.93 : x
  2. Step 2: Convert to fraction form
    464,947.96/696,756.50 = 264,854.93/x
  3. Step 3: Cross multiply
    464,947.96x = 696,756.50 × 264,854.93
  4. Step 4: Simplify right side
    464,947.96x = 184,539,394,034.55
  5. Step 5: Solve for x
    x = 184,539,394,034.55/464,947.96
  6. Step 6: Final answer
    x = 396,903.33

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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.