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Finding the Fourth Proportional to 826,735.79, 1,140,807.03 and 464,199.50

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Solution

The fourth proportional to 826,735.79, 1,140,807.03 and 464,199.50 is: 640,545.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,735.79 : 1,140,807.03 = 464,199.50 : x
  2. Step 2: Convert to fraction form
    826,735.79/1,140,807.03 = 464,199.50/x
  3. Step 3: Cross multiply
    826,735.79x = 1,140,807.03 × 464,199.50
  4. Step 4: Simplify right side
    826,735.79x = 529,562,052,922.49
  5. Step 5: Solve for x
    x = 529,562,052,922.49/826,735.79
  6. Step 6: Final answer
    x = 640,545.70

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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.