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Finding the Fourth Proportional to 460,871.07, 635,641.53 and 299,777.56

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Solution

The fourth proportional to 460,871.07, 635,641.53 and 299,777.56 is: 413,458.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,871.07 : 635,641.53 = 299,777.56 : x
  2. Step 2: Convert to fraction form
    460,871.07/635,641.53 = 299,777.56/x
  3. Step 3: Cross multiply
    460,871.07x = 635,641.53 × 299,777.56
  4. Step 4: Simplify right side
    460,871.07x = 190,551,064,184.80
  5. Step 5: Solve for x
    x = 190,551,064,184.80/460,871.07
  6. Step 6: Final answer
    x = 413,458.51

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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.