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Finding the Fourth Proportional to 492,176.70, 738,265.05 and 413,444.70

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Solution

The fourth proportional to 492,176.70, 738,265.05 and 413,444.70 is: 620,167.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,176.70 : 738,265.05 = 413,444.70 : x
  2. Step 2: Convert to fraction form
    492,176.70/738,265.05 = 413,444.70/x
  3. Step 3: Cross multiply
    492,176.70x = 738,265.05 × 413,444.70
  4. Step 4: Simplify right side
    492,176.70x = 305,231,772,117.74
  5. Step 5: Solve for x
    x = 305,231,772,117.74/492,176.70
  6. Step 6: Final answer
    x = 620,167.05

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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.