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Finding the Fourth Proportional to 468,106.70, 645,826.64 and 264,132.50

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Solution

The fourth proportional to 468,106.70, 645,826.64 and 264,132.50 is: 364,412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,106.70 : 645,826.64 = 264,132.50 : x
  2. Step 2: Convert to fraction form
    468,106.70/645,826.64 = 264,132.50/x
  3. Step 3: Cross multiply
    468,106.70x = 645,826.64 × 264,132.50
  4. Step 4: Simplify right side
    468,106.70x = 170,583,800,440.00
  5. Step 5: Solve for x
    x = 170,583,800,440.00/468,106.70
  6. Step 6: Final answer
    x = 364,412.22

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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.