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Finding the Fourth Proportional to 540,215.10, 745,504.74 and 298,503.27

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Solution

The fourth proportional to 540,215.10, 745,504.74 and 298,503.27 is: 411,938.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,215.10 : 745,504.74 = 298,503.27 : x
  2. Step 2: Convert to fraction form
    540,215.10/745,504.74 = 298,503.27/x
  3. Step 3: Cross multiply
    540,215.10x = 745,504.74 × 298,503.27
  4. Step 4: Simplify right side
    540,215.10x = 222,535,602,690.50
  5. Step 5: Solve for x
    x = 222,535,602,690.50/540,215.10
  6. Step 6: Final answer
    x = 411,938.88

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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.