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Finding the Fourth Proportional to 535,821.40, 803,732.10 and 409,850.20

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Solution

The fourth proportional to 535,821.40, 803,732.10 and 409,850.20 is: 614,775.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,821.40 : 803,732.10 = 409,850.20 : x
  2. Step 2: Convert to fraction form
    535,821.40/803,732.10 = 409,850.20/x
  3. Step 3: Cross multiply
    535,821.40x = 803,732.10 × 409,850.20
  4. Step 4: Simplify right side
    535,821.40x = 329,409,761,931.42
  5. Step 5: Solve for x
    x = 329,409,761,931.42/535,821.40
  6. Step 6: Final answer
    x = 614,775.30

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Similar ratio
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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.