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Finding the Fourth Proportional to 586,638.15, 809,572.14 and 382,819.47

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Solution

The fourth proportional to 586,638.15, 809,572.14 and 382,819.47 is: 528,298.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,638.15 : 809,572.14 = 382,819.47 : x
  2. Step 2: Convert to fraction form
    586,638.15/809,572.14 = 382,819.47/x
  3. Step 3: Cross multiply
    586,638.15x = 809,572.14 × 382,819.47
  4. Step 4: Simplify right side
    586,638.15x = 309,919,977,561.57
  5. Step 5: Solve for x
    x = 309,919,977,561.57/586,638.15
  6. Step 6: Final answer
    x = 528,298.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.