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Finding the Fourth Proportional to 517,041.52, 776,288.88 and 264,503.15

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Solution

The fourth proportional to 517,041.52, 776,288.88 and 264,503.15 is: 397,126.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,041.52 : 776,288.88 = 264,503.15 : x
  2. Step 2: Convert to fraction form
    517,041.52/776,288.88 = 264,503.15/x
  3. Step 3: Cross multiply
    517,041.52x = 776,288.88 × 264,503.15
  4. Step 4: Simplify right side
    517,041.52x = 205,330,854,069.97
  5. Step 5: Solve for x
    x = 205,330,854,069.97/517,041.52
  6. Step 6: Final answer
    x = 397,126.43

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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.