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Finding the Fourth Proportional to 382,193.04, 573,358.50 and 157,430.79

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Solution

The fourth proportional to 382,193.04, 573,358.50 and 157,430.79 is: 236,174.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,193.04 : 573,358.50 = 157,430.79 : x
  2. Step 2: Convert to fraction form
    382,193.04/573,358.50 = 157,430.79/x
  3. Step 3: Cross multiply
    382,193.04x = 573,358.50 × 157,430.79
  4. Step 4: Simplify right side
    382,193.04x = 90,264,281,608.22
  5. Step 5: Solve for x
    x = 90,264,281,608.22/382,193.04
  6. Step 6: Final answer
    x = 236,174.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.