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Finding the Fourth Proportional to 460,642.77, 635,738.49 and 256,712.31

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Solution

The fourth proportional to 460,642.77, 635,738.49 and 256,712.31 is: 354,291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,642.77 : 635,738.49 = 256,712.31 : x
  2. Step 2: Convert to fraction form
    460,642.77/635,738.49 = 256,712.31/x
  3. Step 3: Cross multiply
    460,642.77x = 635,738.49 × 256,712.31
  4. Step 4: Simplify right side
    460,642.77x = 163,201,896,323.81
  5. Step 5: Solve for x
    x = 163,201,896,323.81/460,642.77
  6. Step 6: Final answer
    x = 354,291.67

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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.