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Finding the Fourth Proportional to 517,041.77, 776,289.26 and 264,503.40

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Solution

The fourth proportional to 517,041.77, 776,289.26 and 264,503.40 is: 397,126.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,041.77 : 776,289.26 = 264,503.40 : x
  2. Step 2: Convert to fraction form
    517,041.77/776,289.26 = 264,503.40/x
  3. Step 3: Cross multiply
    517,041.77x = 776,289.26 × 264,503.40
  4. Step 4: Simplify right side
    517,041.77x = 205,331,147,330.97
  5. Step 5: Solve for x
    x = 205,331,147,330.97/517,041.77
  6. Step 6: Final answer
    x = 397,126.81

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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.