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Finding the Fourth Proportional to 382,051.70, 573,077.55 and 97,741.70

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Solution

The fourth proportional to 382,051.70, 573,077.55 and 97,741.70 is: 146,612.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,051.70 : 573,077.55 = 97,741.70 : x
  2. Step 2: Convert to fraction form
    382,051.70/573,077.55 = 97,741.70/x
  3. Step 3: Cross multiply
    382,051.70x = 573,077.55 × 97,741.70
  4. Step 4: Simplify right side
    382,051.70x = 56,013,573,968.84
  5. Step 5: Solve for x
    x = 56,013,573,968.84/382,051.70
  6. Step 6: Final answer
    x = 146,612.55

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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.