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Finding the Fourth Proportional to 382,114.07, 573,169.05 and 97,804.07

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Solution

The fourth proportional to 382,114.07, 573,169.05 and 97,804.07 is: 146,705.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,114.07 : 573,169.05 = 97,804.07 : x
  2. Step 2: Convert to fraction form
    382,114.07/573,169.05 = 97,804.07/x
  3. Step 3: Cross multiply
    382,114.07x = 573,169.05 × 97,804.07
  4. Step 4: Simplify right side
    382,114.07x = 56,058,265,888.03
  5. Step 5: Solve for x
    x = 56,058,265,888.03/382,114.07
  6. Step 6: Final answer
    x = 146,705.58

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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.