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Finding the Fourth Proportional to 483,428.32, 721,981.05 and 411,585.04

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Solution

The fourth proportional to 483,428.32, 721,981.05 and 411,585.04 is: 614,685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,428.32 : 721,981.05 = 411,585.04 : x
  2. Step 2: Convert to fraction form
    483,428.32/721,981.05 = 411,585.04/x
  3. Step 3: Cross multiply
    483,428.32x = 721,981.05 × 411,585.04
  4. Step 4: Simplify right side
    483,428.32x = 297,156,599,343.49
  5. Step 5: Solve for x
    x = 297,156,599,343.49/483,428.32
  6. Step 6: Final answer
    x = 614,685.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.