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Finding the Fourth Proportional to 382,829, 574,199.68 and 102,368.12

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Solution

The fourth proportional to 382,829, 574,199.68 and 102,368.12 is: 153,540.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,829 : 574,199.68 = 102,368.12 : x
  2. Step 2: Convert to fraction form
    382,829/574,199.68 = 102,368.12/x
  3. Step 3: Cross multiply
    382,829x = 574,199.68 × 102,368.12
  4. Step 4: Simplify right side
    382,829x = 58,779,741,746.20
  5. Step 5: Solve for x
    x = 58,779,741,746.20/382,829
  6. Step 6: Final answer
    x = 153,540.46

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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.