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Finding the Fourth Proportional to 460,804.72, 635,833.56 and 256,811.12

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Solution

The fourth proportional to 460,804.72, 635,833.56 and 256,811.12 is: 354,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,804.72 : 635,833.56 = 256,811.12 : x
  2. Step 2: Convert to fraction form
    460,804.72/635,833.56 = 256,811.12/x
  3. Step 3: Cross multiply
    460,804.72x = 635,833.56 × 256,811.12
  4. Step 4: Simplify right side
    460,804.72x = 163,289,128,677.19
  5. Step 5: Solve for x
    x = 163,289,128,677.19/460,804.72
  6. Step 6: Final answer
    x = 354,356.46

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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.