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Finding the Fourth Proportional to 261,396.60, 392,094.90 and 202,274.70

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Solution

The fourth proportional to 261,396.60, 392,094.90 and 202,274.70 is: 303,412.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,396.60 : 392,094.90 = 202,274.70 : x
  2. Step 2: Convert to fraction form
    261,396.60/392,094.90 = 202,274.70/x
  3. Step 3: Cross multiply
    261,396.60x = 392,094.90 × 202,274.70
  4. Step 4: Simplify right side
    261,396.60x = 79,310,878,269.03
  5. Step 5: Solve for x
    x = 79,310,878,269.03/261,396.60
  6. Step 6: Final answer
    x = 303,412.05

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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.