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Finding the Fourth Proportional to 428,328.74, 591,093.47 and 256,253.98

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Solution

The fourth proportional to 428,328.74, 591,093.47 and 256,253.98 is: 353,630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,328.74 : 591,093.47 = 256,253.98 : x
  2. Step 2: Convert to fraction form
    428,328.74/591,093.47 = 256,253.98/x
  3. Step 3: Cross multiply
    428,328.74x = 591,093.47 × 256,253.98
  4. Step 4: Simplify right side
    428,328.74x = 151,470,051,480.51
  5. Step 5: Solve for x
    x = 151,470,051,480.51/428,328.74
  6. Step 6: Final answer
    x = 353,630.38

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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.