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Finding the Fourth Proportional to 599,322.47, 827,090.14 and 344,673.86

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Solution

The fourth proportional to 599,322.47, 827,090.14 and 344,673.86 is: 475,664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,322.47 : 827,090.14 = 344,673.86 : x
  2. Step 2: Convert to fraction form
    599,322.47/827,090.14 = 344,673.86/x
  3. Step 3: Cross multiply
    599,322.47x = 827,090.14 × 344,673.86
  4. Step 4: Simplify right side
    599,322.47x = 285,076,346,124.61
  5. Step 5: Solve for x
    x = 285,076,346,124.61/599,322.47
  6. Step 6: Final answer
    x = 475,664.38

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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.