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Finding the Fourth Proportional to 493,406.34, 739,513.50 and 240,307.50

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Solution

The fourth proportional to 493,406.34, 739,513.50 and 240,307.50 is: 360,170.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,406.34 : 739,513.50 = 240,307.50 : x
  2. Step 2: Convert to fraction form
    493,406.34/739,513.50 = 240,307.50/x
  3. Step 3: Cross multiply
    493,406.34x = 739,513.50 × 240,307.50
  4. Step 4: Simplify right side
    493,406.34x = 177,710,640,401.25
  5. Step 5: Solve for x
    x = 177,710,640,401.25/493,406.34
  6. Step 6: Final answer
    x = 360,170.97

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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.