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Finding the Fourth Proportional to 411,627.98, 617,087.11 and 159,085.64

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Solution

The fourth proportional to 411,627.98, 617,087.11 and 159,085.64 is: 238,491.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,627.98 : 617,087.11 = 159,085.64 : x
  2. Step 2: Convert to fraction form
    411,627.98/617,087.11 = 159,085.64/x
  3. Step 3: Cross multiply
    411,627.98x = 617,087.11 × 159,085.64
  4. Step 4: Simplify right side
    411,627.98x = 98,169,697,830.10
  5. Step 5: Solve for x
    x = 98,169,697,830.10/411,627.98
  6. Step 6: Final answer
    x = 238,491.31

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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.