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Finding the Fourth Proportional to 334,915.80, 502,365.60 and 201,695.10

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Solution

The fourth proportional to 334,915.80, 502,365.60 and 201,695.10 is: 302,537.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,915.80 : 502,365.60 = 201,695.10 : x
  2. Step 2: Convert to fraction form
    334,915.80/502,365.60 = 201,695.10/x
  3. Step 3: Cross multiply
    334,915.80x = 502,365.60 × 201,695.10
  4. Step 4: Simplify right side
    334,915.80x = 101,324,679,928.56
  5. Step 5: Solve for x
    x = 101,324,679,928.56/334,915.80
  6. Step 6: Final answer
    x = 302,537.77

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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.