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Finding the Fourth Proportional to 460,362.54, 635,080.28 and 357,685.32

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Solution

The fourth proportional to 460,362.54, 635,080.28 and 357,685.32 is: 493,434.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,362.54 : 635,080.28 = 357,685.32 : x
  2. Step 2: Convert to fraction form
    460,362.54/635,080.28 = 357,685.32/x
  3. Step 3: Cross multiply
    460,362.54x = 635,080.28 × 357,685.32
  4. Step 4: Simplify right side
    460,362.54x = 227,158,891,389.06
  5. Step 5: Solve for x
    x = 227,158,891,389.06/460,362.54
  6. Step 6: Final answer
    x = 493,434.79

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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.