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Finding the Fourth Proportional to 538,363.83, 807,685.93 and 201,430.83

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Solution

The fourth proportional to 538,363.83, 807,685.93 and 201,430.83 is: 302,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,363.83 : 807,685.93 = 201,430.83 : x
  2. Step 2: Convert to fraction form
    538,363.83/807,685.93 = 201,430.83/x
  3. Step 3: Cross multiply
    538,363.83x = 807,685.93 × 201,430.83
  4. Step 4: Simplify right side
    538,363.83x = 162,692,850,539.83
  5. Step 5: Solve for x
    x = 162,692,850,539.83/538,363.83
  6. Step 6: Final answer
    x = 302,198.70

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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.