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Finding the Fourth Proportional to 484,665.85, 727,113.98 and 204,038.65

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Solution

The fourth proportional to 484,665.85, 727,113.98 and 204,038.65 is: 306,106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,665.85 : 727,113.98 = 204,038.65 : x
  2. Step 2: Convert to fraction form
    484,665.85/727,113.98 = 204,038.65/x
  3. Step 3: Cross multiply
    484,665.85x = 727,113.98 × 204,038.65
  4. Step 4: Simplify right side
    484,665.85x = 148,359,353,855.13
  5. Step 5: Solve for x
    x = 148,359,353,855.13/484,665.85
  6. Step 6: Final answer
    x = 306,106.47

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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.