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Finding the Fourth Proportional to 536,314.40, 803,780.40 and 411,034.40

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Solution

The fourth proportional to 536,314.40, 803,780.40 and 411,034.40 is: 616,021.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,314.40 : 803,780.40 = 411,034.40 : x
  2. Step 2: Convert to fraction form
    536,314.40/803,780.40 = 411,034.40/x
  3. Step 3: Cross multiply
    536,314.40x = 803,780.40 × 411,034.40
  4. Step 4: Simplify right side
    536,314.40x = 330,381,394,445.76
  5. Step 5: Solve for x
    x = 330,381,394,445.76/536,314.40
  6. Step 6: Final answer
    x = 616,021.86

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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.