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Finding the Fourth Proportional to 537,891.35, 808,214.02 and 406,013.63

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Solution

The fourth proportional to 537,891.35, 808,214.02 and 406,013.63 is: 610,059.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,891.35 : 808,214.02 = 406,013.63 : x
  2. Step 2: Convert to fraction form
    537,891.35/808,214.02 = 406,013.63/x
  3. Step 3: Cross multiply
    537,891.35x = 808,214.02 × 406,013.63
  4. Step 4: Simplify right side
    537,891.35x = 328,145,903,020.99
  5. Step 5: Solve for x
    x = 328,145,903,020.99/537,891.35
  6. Step 6: Final answer
    x = 610,059.83

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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.