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Finding the Fourth Proportional to 334,643.40, 502,353.90 and 201,673.80

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Solution

The fourth proportional to 334,643.40, 502,353.90 and 201,673.80 is: 302,745.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,643.40 : 502,353.90 = 201,673.80 : x
  2. Step 2: Convert to fraction form
    334,643.40/502,353.90 = 201,673.80/x
  3. Step 3: Cross multiply
    334,643.40x = 502,353.90 × 201,673.80
  4. Step 4: Simplify right side
    334,643.40x = 101,311,619,957.82
  5. Step 5: Solve for x
    x = 101,311,619,957.82/334,643.40
  6. Step 6: Final answer
    x = 302,745.01

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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.