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Finding the Fourth Proportional to 460,622.64, 635,643.07 and 256,663.02

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Solution

The fourth proportional to 460,622.64, 635,643.07 and 256,663.02 is: 354,185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,622.64 : 635,643.07 = 256,663.02 : x
  2. Step 2: Convert to fraction form
    460,622.64/635,643.07 = 256,663.02/x
  3. Step 3: Cross multiply
    460,622.64x = 635,643.07 × 256,663.02
  4. Step 4: Simplify right side
    460,622.64x = 163,146,069,988.27
  5. Step 5: Solve for x
    x = 163,146,069,988.27/460,622.64
  6. Step 6: Final answer
    x = 354,185.96

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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.