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Finding the Fourth Proportional to 382,047.02, 573,069.90 and 101,564.30

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Solution

The fourth proportional to 382,047.02, 573,069.90 and 101,564.30 is: 152,346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,047.02 : 573,069.90 = 101,564.30 : x
  2. Step 2: Convert to fraction form
    382,047.02/573,069.90 = 101,564.30/x
  3. Step 3: Cross multiply
    382,047.02x = 573,069.90 × 101,564.30
  4. Step 4: Simplify right side
    382,047.02x = 58,203,443,244.57
  5. Step 5: Solve for x
    x = 58,203,443,244.57/382,047.02
  6. Step 6: Final answer
    x = 152,346.28

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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.