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Finding the Fourth Proportional to 540,041.83, 745,193.85 and 298,309.90

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Solution

The fourth proportional to 540,041.83, 745,193.85 and 298,309.90 is: 411,632.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,041.83 : 745,193.85 = 298,309.90 : x
  2. Step 2: Convert to fraction form
    540,041.83/745,193.85 = 298,309.90/x
  3. Step 3: Cross multiply
    540,041.83x = 745,193.85 × 298,309.90
  4. Step 4: Simplify right side
    540,041.83x = 222,298,702,874.12
  5. Step 5: Solve for x
    x = 222,298,702,874.12/540,041.83
  6. Step 6: Final answer
    x = 411,632.38

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Why These Related Problems?

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