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Finding the Fourth Proportional to 434,056.81, 650,947.19 and 405,720.64

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Solution

The fourth proportional to 434,056.81, 650,947.19 and 405,720.64 is: 608,451.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,056.81 : 650,947.19 = 405,720.64 : x
  2. Step 2: Convert to fraction form
    434,056.81/650,947.19 = 405,720.64/x
  3. Step 3: Cross multiply
    434,056.81x = 650,947.19 × 405,720.64
  4. Step 4: Simplify right side
    434,056.81x = 264,102,712,820.79
  5. Step 5: Solve for x
    x = 264,102,712,820.79/434,056.81
  6. Step 6: Final answer
    x = 608,451.95

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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.