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Finding the Fourth Proportional to 412,097.20, 617,368.20 and 384,103.60

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Solution

The fourth proportional to 412,097.20, 617,368.20 and 384,103.60 is: 575,430.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,097.20 : 617,368.20 = 384,103.60 : x
  2. Step 2: Convert to fraction form
    412,097.20/617,368.20 = 384,103.60/x
  3. Step 3: Cross multiply
    412,097.20x = 617,368.20 × 384,103.60
  4. Step 4: Simplify right side
    412,097.20x = 237,133,348,145.52
  5. Step 5: Solve for x
    x = 237,133,348,145.52/412,097.20
  6. Step 6: Final answer
    x = 575,430.62

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1.5x scale

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.