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Finding the Fourth Proportional to 411,948.80, 617,923.20 and 285,977.60

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Solution

The fourth proportional to 411,948.80, 617,923.20 and 285,977.60 is: 428,966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,948.80 : 617,923.20 = 285,977.60 : x
  2. Step 2: Convert to fraction form
    411,948.80/617,923.20 = 285,977.60/x
  3. Step 3: Cross multiply
    411,948.80x = 617,923.20 × 285,977.60
  4. Step 4: Simplify right side
    411,948.80x = 176,712,193,720.32
  5. Step 5: Solve for x
    x = 176,712,193,720.32/411,948.80
  6. Step 6: Final answer
    x = 428,966.40

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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.