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Finding the Fourth Proportional to 380,534.64, 570,797.82 and 114,283.80

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Solution

The fourth proportional to 380,534.64, 570,797.82 and 114,283.80 is: 171,424.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,534.64 : 570,797.82 = 114,283.80 : x
  2. Step 2: Convert to fraction form
    380,534.64/570,797.82 = 114,283.80/x
  3. Step 3: Cross multiply
    380,534.64x = 570,797.82 × 114,283.80
  4. Step 4: Simplify right side
    380,534.64x = 65,232,943,901.32
  5. Step 5: Solve for x
    x = 65,232,943,901.32/380,534.64
  6. Step 6: Final answer
    x = 171,424.46

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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.