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Finding the Fourth Proportional to 346,410.76, 478,042.12 and 193,451.44

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Solution

The fourth proportional to 346,410.76, 478,042.12 and 193,451.44 is: 266,960.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,410.76 : 478,042.12 = 193,451.44 : x
  2. Step 2: Convert to fraction form
    346,410.76/478,042.12 = 193,451.44/x
  3. Step 3: Cross multiply
    346,410.76x = 478,042.12 × 193,451.44
  4. Step 4: Simplify right side
    346,410.76x = 92,477,936,494.65
  5. Step 5: Solve for x
    x = 92,477,936,494.65/346,410.76
  6. Step 6: Final answer
    x = 266,960.35

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1.5x scale

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.