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Finding the Fourth Proportional to 382,248.30, 573,441.30 and 157,485.84

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Solution

The fourth proportional to 382,248.30, 573,441.30 and 157,485.84 is: 236,257.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,248.30 : 573,441.30 = 157,485.84 : x
  2. Step 2: Convert to fraction form
    382,248.30/573,441.30 = 157,485.84/x
  3. Step 3: Cross multiply
    382,248.30x = 573,441.30 × 157,485.84
  4. Step 4: Simplify right side
    382,248.30x = 90,308,884,821.19
  5. Step 5: Solve for x
    x = 90,308,884,821.19/382,248.30
  6. Step 6: Final answer
    x = 236,257.13

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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.