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Finding the Fourth Proportional to 537,098.40, 804,956.40 and 411,818.40

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Solution

The fourth proportional to 537,098.40, 804,956.40 and 411,818.40 is: 617,197.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,098.40 : 804,956.40 = 411,818.40 : x
  2. Step 2: Convert to fraction form
    537,098.40/804,956.40 = 411,818.40/x
  3. Step 3: Cross multiply
    537,098.40x = 804,956.40 × 411,818.40
  4. Step 4: Simplify right side
    537,098.40x = 331,495,856,717.76
  5. Step 5: Solve for x
    x = 331,495,856,717.76/537,098.40
  6. Step 6: Final answer
    x = 617,197.62

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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.