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Finding the Fourth Proportional to 540,038.21, 745,188.85 and 298,306.28

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Solution

The fourth proportional to 540,038.21, 745,188.85 and 298,306.28 is: 411,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,038.21 : 745,188.85 = 298,306.28 : x
  2. Step 2: Convert to fraction form
    540,038.21/745,188.85 = 298,306.28/x
  3. Step 3: Cross multiply
    540,038.21x = 745,188.85 × 298,306.28
  4. Step 4: Simplify right side
    540,038.21x = 222,294,509,269.27
  5. Step 5: Solve for x
    x = 222,294,509,269.27/540,038.21
  6. Step 6: Final answer
    x = 411,627.38

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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.