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Finding the Fourth Proportional to 382,685.70, 574,038 and 183,027.18

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Solution

The fourth proportional to 382,685.70, 574,038 and 183,027.18 is: 274,545.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,685.70 : 574,038 = 183,027.18 : x
  2. Step 2: Convert to fraction form
    382,685.70/574,038 = 183,027.18/x
  3. Step 3: Cross multiply
    382,685.70x = 574,038 × 183,027.18
  4. Step 4: Simplify right side
    382,685.70x = 105,064,556,352.84
  5. Step 5: Solve for x
    x = 105,064,556,352.84/382,685.70
  6. Step 6: Final answer
    x = 274,545.29

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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.