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Finding the Fourth Proportional to 523,757.16, 785,026.38 and 299,274.96

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Solution

The fourth proportional to 523,757.16, 785,026.38 and 299,274.96 is: 448,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,757.16 : 785,026.38 = 299,274.96 : x
  2. Step 2: Convert to fraction form
    523,757.16/785,026.38 = 299,274.96/x
  3. Step 3: Cross multiply
    523,757.16x = 785,026.38 × 299,274.96
  4. Step 4: Simplify right side
    523,757.16x = 234,938,738,473.45
  5. Step 5: Solve for x
    x = 234,938,738,473.45/523,757.16
  6. Step 6: Final answer
    x = 448,564.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.