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Finding the Fourth Proportional to 334,894.80, 502,334.10 and 201,674.10

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Solution

The fourth proportional to 334,894.80, 502,334.10 and 201,674.10 is: 302,506.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,894.80 : 502,334.10 = 201,674.10 : x
  2. Step 2: Convert to fraction form
    334,894.80/502,334.10 = 201,674.10/x
  3. Step 3: Cross multiply
    334,894.80x = 502,334.10 × 201,674.10
  4. Step 4: Simplify right side
    334,894.80x = 101,307,777,516.81
  5. Step 5: Solve for x
    x = 101,307,777,516.81/334,894.80
  6. Step 6: Final answer
    x = 302,506.27

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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.