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Finding the Fourth Proportional to 334,678.40, 502,406.40 and 201,708.80

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Solution

The fourth proportional to 334,678.40, 502,406.40 and 201,708.80 is: 302,797.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,678.40 : 502,406.40 = 201,708.80 : x
  2. Step 2: Convert to fraction form
    334,678.40/502,406.40 = 201,708.80/x
  3. Step 3: Cross multiply
    334,678.40x = 502,406.40 × 201,708.80
  4. Step 4: Simplify right side
    334,678.40x = 101,339,792,056.32
  5. Step 5: Solve for x
    x = 101,339,792,056.32/334,678.40
  6. Step 6: Final answer
    x = 302,797.53

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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.