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Finding the Fourth Proportional to 382,232, 573,325.32 and 115,994.72

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Solution

The fourth proportional to 382,232, 573,325.32 and 115,994.72 is: 173,985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,232 : 573,325.32 = 115,994.72 : x
  2. Step 2: Convert to fraction form
    382,232/573,325.32 = 115,994.72/x
  3. Step 3: Cross multiply
    382,232x = 573,325.32 × 115,994.72
  4. Step 4: Simplify right side
    382,232x = 66,502,709,962.31
  5. Step 5: Solve for x
    x = 66,502,709,962.31/382,232
  6. Step 6: Final answer
    x = 173,985.20

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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.