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Finding the Fourth Proportional to 411,024.80, 616,537.20 and 211,066.40

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Solution

The fourth proportional to 411,024.80, 616,537.20 and 211,066.40 is: 316,599.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,024.80 : 616,537.20 = 211,066.40 : x
  2. Step 2: Convert to fraction form
    411,024.80/616,537.20 = 211,066.40/x
  3. Step 3: Cross multiply
    411,024.80x = 616,537.20 × 211,066.40
  4. Step 4: Simplify right side
    411,024.80x = 130,130,287,270.08
  5. Step 5: Solve for x
    x = 130,130,287,270.08/411,024.80
  6. Step 6: Final answer
    x = 316,599.60

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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.