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Finding the Fourth Proportional to 596,144.76, 822,256.74 and 366,400.41

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Solution

The fourth proportional to 596,144.76, 822,256.74 and 366,400.41 is: 505,372.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,144.76 : 822,256.74 = 366,400.41 : x
  2. Step 2: Convert to fraction form
    596,144.76/822,256.74 = 366,400.41/x
  3. Step 3: Cross multiply
    596,144.76x = 822,256.74 × 366,400.41
  4. Step 4: Simplify right side
    596,144.76x = 301,275,206,661.26
  5. Step 5: Solve for x
    x = 301,275,206,661.26/596,144.76
  6. Step 6: Final answer
    x = 505,372.57

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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.