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Finding the Fourth Proportional to 733,677, 1,012,473.33 and 407,039.57

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Solution

The fourth proportional to 733,677, 1,012,473.33 and 407,039.57 is: 561,714.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,677 : 1,012,473.33 = 407,039.57 : x
  2. Step 2: Convert to fraction form
    733,677/1,012,473.33 = 407,039.57/x
  3. Step 3: Cross multiply
    733,677x = 1,012,473.33 × 407,039.57
  4. Step 4: Simplify right side
    733,677x = 412,116,708,879.67
  5. Step 5: Solve for x
    x = 412,116,708,879.67/733,677
  6. Step 6: Final answer
    x = 561,714.09

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1.5x scale

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.