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Finding the Fourth Proportional to 345,877.16, 477,311.12 and 192,925.26

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Solution

The fourth proportional to 345,877.16, 477,311.12 and 192,925.26 is: 266,237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,877.16 : 477,311.12 = 192,925.26 : x
  2. Step 2: Convert to fraction form
    345,877.16/477,311.12 = 192,925.26/x
  3. Step 3: Cross multiply
    345,877.16x = 477,311.12 × 192,925.26
  4. Step 4: Simplify right side
    345,877.16x = 92,085,370,962.26
  5. Step 5: Solve for x
    x = 92,085,370,962.26/345,877.16
  6. Step 6: Final answer
    x = 266,237.22

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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.