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Finding the Fourth Proportional to 382,596.45, 573,402.60 and 232,677.60

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Solution

The fourth proportional to 382,596.45, 573,402.60 and 232,677.60 is: 348,717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,596.45 : 573,402.60 = 232,677.60 : x
  2. Step 2: Convert to fraction form
    382,596.45/573,402.60 = 232,677.60/x
  3. Step 3: Cross multiply
    382,596.45x = 573,402.60 × 232,677.60
  4. Step 4: Simplify right side
    382,596.45x = 133,417,940,801.76
  5. Step 5: Solve for x
    x = 133,417,940,801.76/382,596.45
  6. Step 6: Final answer
    x = 348,717.14

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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.