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Finding the Fourth Proportional to 461,092.50, 691,263.32 and 309,445.92

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Solution

The fourth proportional to 461,092.50, 691,263.32 and 309,445.92 is: 463,916.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,092.50 : 691,263.32 = 309,445.92 : x
  2. Step 2: Convert to fraction form
    461,092.50/691,263.32 = 309,445.92/x
  3. Step 3: Cross multiply
    461,092.50x = 691,263.32 × 309,445.92
  4. Step 4: Simplify right side
    461,092.50x = 213,908,612,472.43
  5. Step 5: Solve for x
    x = 213,908,612,472.43/461,092.50
  6. Step 6: Final answer
    x = 463,916.92

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1.5x scale

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.