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Finding the Fourth Proportional to 409,534.20, 614,301.30 and 404,285.40

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Solution

The fourth proportional to 409,534.20, 614,301.30 and 404,285.40 is: 606,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,534.20 : 614,301.30 = 404,285.40 : x
  2. Step 2: Convert to fraction form
    409,534.20/614,301.30 = 404,285.40/x
  3. Step 3: Cross multiply
    409,534.20x = 614,301.30 × 404,285.40
  4. Step 4: Simplify right side
    409,534.20x = 248,353,046,791.02
  5. Step 5: Solve for x
    x = 248,353,046,791.02/409,534.20
  6. Step 6: Final answer
    x = 606,428.10

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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.