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Finding the Fourth Proportional to 346,494.83, 478,157.83 and 193,535.20

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Solution

The fourth proportional to 346,494.83, 478,157.83 and 193,535.20 is: 267,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,494.83 : 478,157.83 = 193,535.20 : x
  2. Step 2: Convert to fraction form
    346,494.83/478,157.83 = 193,535.20/x
  3. Step 3: Cross multiply
    346,494.83x = 478,157.83 × 193,535.20
  4. Step 4: Simplify right side
    346,494.83x = 92,540,367,902.15
  5. Step 5: Solve for x
    x = 92,540,367,902.15/346,494.83
  6. Step 6: Final answer
    x = 267,075.75

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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.