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Finding the Fourth Proportional to 414,871.84, 572,534.72 and 253,724

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Solution

The fourth proportional to 414,871.84, 572,534.72 and 253,724 is: 350,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,871.84 : 572,534.72 = 253,724 : x
  2. Step 2: Convert to fraction form
    414,871.84/572,534.72 = 253,724/x
  3. Step 3: Cross multiply
    414,871.84x = 572,534.72 × 253,724
  4. Step 4: Simplify right side
    414,871.84x = 145,265,799,297.28
  5. Step 5: Solve for x
    x = 145,265,799,297.28/414,871.84
  6. Step 6: Final answer
    x = 350,146.20

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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.