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Finding the Fourth Proportional to 411,114.80, 577,219.60 and 411,114.80

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Solution

The fourth proportional to 411,114.80, 577,219.60 and 411,114.80 is: 577,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,114.80 : 577,219.60 = 411,114.80 : x
  2. Step 2: Convert to fraction form
    411,114.80/577,219.60 = 411,114.80/x
  3. Step 3: Cross multiply
    411,114.80x = 577,219.60 × 411,114.80
  4. Step 4: Simplify right side
    411,114.80x = 237,303,520,410.08
  5. Step 5: Solve for x
    x = 237,303,520,410.08/411,114.80
  6. Step 6: Final answer
    x = 577,219.60

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.