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Finding the Fourth Proportional to 460,866.65, 635,451.95 and 315,742.01

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Solution

The fourth proportional to 460,866.65, 635,451.95 and 315,742.01 is: 435,351.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,866.65 : 635,451.95 = 315,742.01 : x
  2. Step 2: Convert to fraction form
    460,866.65/635,451.95 = 315,742.01/x
  3. Step 3: Cross multiply
    460,866.65x = 635,451.95 × 315,742.01
  4. Step 4: Simplify right side
    460,866.65x = 200,638,873,563.52
  5. Step 5: Solve for x
    x = 200,638,873,563.52/460,866.65
  6. Step 6: Final answer
    x = 435,351.26

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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.