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Finding the Fourth Proportional to 733,409.76, 1,012,148.04 and 411,223.56

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Solution

The fourth proportional to 733,409.76, 1,012,148.04 and 411,223.56 is: 567,512.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,409.76 : 1,012,148.04 = 411,223.56 : x
  2. Step 2: Convert to fraction form
    733,409.76/1,012,148.04 = 411,223.56/x
  3. Step 3: Cross multiply
    733,409.76x = 1,012,148.04 × 411,223.56
  4. Step 4: Simplify right side
    733,409.76x = 416,219,120,255.82
  5. Step 5: Solve for x
    x = 416,219,120,255.82/733,409.76
  6. Step 6: Final answer
    x = 567,512.38

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Double scale
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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.