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Finding the Fourth Proportional to 458,768.24, 633,090.84 and 257,564.24

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Solution

The fourth proportional to 458,768.24, 633,090.84 and 257,564.24 is: 355,433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,768.24 : 633,090.84 = 257,564.24 : x
  2. Step 2: Convert to fraction form
    458,768.24/633,090.84 = 257,564.24/x
  3. Step 3: Cross multiply
    458,768.24x = 633,090.84 × 257,564.24
  4. Step 4: Simplify right side
    458,768.24x = 163,061,561,055.56
  5. Step 5: Solve for x
    x = 163,061,561,055.56/458,768.24
  6. Step 6: Final answer
    x = 355,433.41

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1.5x scale

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.