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Finding the Fourth Proportional to 472,033.41, 651,406.16 and 257,173.47

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Solution

The fourth proportional to 472,033.41, 651,406.16 and 257,173.47 is: 354,899.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,033.41 : 651,406.16 = 257,173.47 : x
  2. Step 2: Convert to fraction form
    472,033.41/651,406.16 = 257,173.47/x
  3. Step 3: Cross multiply
    472,033.41x = 651,406.16 × 257,173.47
  4. Step 4: Simplify right side
    472,033.41x = 167,524,383,189.51
  5. Step 5: Solve for x
    x = 167,524,383,189.51/472,033.41
  6. Step 6: Final answer
    x = 354,899.42

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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.