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Finding the Fourth Proportional to 382,030.30, 573,160.02 and 154,208.80

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Solution

The fourth proportional to 382,030.30, 573,160.02 and 154,208.80 is: 231,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,030.30 : 573,160.02 = 154,208.80 : x
  2. Step 2: Convert to fraction form
    382,030.30/573,160.02 = 154,208.80/x
  3. Step 3: Cross multiply
    382,030.30x = 573,160.02 × 154,208.80
  4. Step 4: Simplify right side
    382,030.30x = 88,386,318,892.18
  5. Step 5: Solve for x
    x = 88,386,318,892.18/382,030.30
  6. Step 6: Final answer
    x = 231,359.45

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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.