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Finding the Fourth Proportional to 382,211.80, 573,317.70 and 97,901.80

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Solution

The fourth proportional to 382,211.80, 573,317.70 and 97,901.80 is: 146,852.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,211.80 : 573,317.70 = 97,901.80 : x
  2. Step 2: Convert to fraction form
    382,211.80/573,317.70 = 97,901.80/x
  3. Step 3: Cross multiply
    382,211.80x = 573,317.70 × 97,901.80
  4. Step 4: Simplify right side
    382,211.80x = 56,128,834,801.86
  5. Step 5: Solve for x
    x = 56,128,834,801.86/382,211.80
  6. Step 6: Final answer
    x = 146,852.70

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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.