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Finding the Fourth Proportional to 380,377.62, 570,483.81 and 114,066.63

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Solution

The fourth proportional to 380,377.62, 570,483.81 and 114,066.63 is: 171,075.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,377.62 : 570,483.81 = 114,066.63 : x
  2. Step 2: Convert to fraction form
    380,377.62/570,483.81 = 114,066.63/x
  3. Step 3: Cross multiply
    380,377.62x = 570,483.81 × 114,066.63
  4. Step 4: Simplify right side
    380,377.62x = 65,073,165,676.26
  5. Step 5: Solve for x
    x = 65,073,165,676.26/380,377.62
  6. Step 6: Final answer
    x = 171,075.17

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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.