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Finding the Fourth Proportional to 382,050.70, 573,076.05 and 97,740.70

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Solution

The fourth proportional to 382,050.70, 573,076.05 and 97,740.70 is: 146,611.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,050.70 : 573,076.05 = 97,740.70 : x
  2. Step 2: Convert to fraction form
    382,050.70/573,076.05 = 97,740.70/x
  3. Step 3: Cross multiply
    382,050.70x = 573,076.05 × 97,740.70
  4. Step 4: Simplify right side
    382,050.70x = 56,012,854,280.24
  5. Step 5: Solve for x
    x = 56,012,854,280.24/382,050.70
  6. Step 6: Final answer
    x = 146,611.05

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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.