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Finding the Fourth Proportional to 412,088.20, 617,354.70 and 384,094.60

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Solution

The fourth proportional to 412,088.20, 617,354.70 and 384,094.60 is: 575,417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,088.20 : 617,354.70 = 384,094.60 : x
  2. Step 2: Convert to fraction form
    412,088.20/617,354.70 = 384,094.60/x
  3. Step 3: Cross multiply
    412,088.20x = 617,354.70 × 384,094.60
  4. Step 4: Simplify right side
    412,088.20x = 237,122,606,554.62
  5. Step 5: Solve for x
    x = 237,122,606,554.62/412,088.20
  6. Step 6: Final answer
    x = 575,417.12

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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.