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Finding the Fourth Proportional to 517,709.22, 776,303.97 and 301,637.90

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Solution

The fourth proportional to 517,709.22, 776,303.97 and 301,637.90 is: 452,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,709.22 : 776,303.97 = 301,637.90 : x
  2. Step 2: Convert to fraction form
    517,709.22/776,303.97 = 301,637.90/x
  3. Step 3: Cross multiply
    517,709.22x = 776,303.97 × 301,637.90
  4. Step 4: Simplify right side
    517,709.22x = 234,162,696,522.09
  5. Step 5: Solve for x
    x = 234,162,696,522.09/517,709.22
  6. Step 6: Final answer
    x = 452,305.44

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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.