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Finding the Fourth Proportional to 346,284.80, 477,871.20 and 193,314.08

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Solution

The fourth proportional to 346,284.80, 477,871.20 and 193,314.08 is: 266,772.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,284.80 : 477,871.20 = 193,314.08 : x
  2. Step 2: Convert to fraction form
    346,284.80/477,871.20 = 193,314.08/x
  3. Step 3: Cross multiply
    346,284.80x = 477,871.20 × 193,314.08
  4. Step 4: Simplify right side
    346,284.80x = 92,379,231,386.50
  5. Step 5: Solve for x
    x = 92,379,231,386.50/346,284.80
  6. Step 6: Final answer
    x = 266,772.41

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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.