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Finding the Fourth Proportional to 380,614.64, 570,533.16 and 247,761.68

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Solution

The fourth proportional to 380,614.64, 570,533.16 and 247,761.68 is: 371,389.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,614.64 : 570,533.16 = 247,761.68 : x
  2. Step 2: Convert to fraction form
    380,614.64/570,533.16 = 247,761.68/x
  3. Step 3: Cross multiply
    380,614.64x = 570,533.16 × 247,761.68
  4. Step 4: Simplify right side
    380,614.64x = 141,356,254,217.31
  5. Step 5: Solve for x
    x = 141,356,254,217.31/380,614.64
  6. Step 6: Final answer
    x = 371,389.43

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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.