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Finding the Fourth Proportional to 346,157.66, 477,665.18 and 200,924.91

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Solution

The fourth proportional to 346,157.66, 477,665.18 and 200,924.91 is: 277,257.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,157.66 : 477,665.18 = 200,924.91 : x
  2. Step 2: Convert to fraction form
    346,157.66/477,665.18 = 200,924.91/x
  3. Step 3: Cross multiply
    346,157.66x = 477,665.18 × 200,924.91
  4. Step 4: Simplify right side
    346,157.66x = 95,974,834,998.11
  5. Step 5: Solve for x
    x = 95,974,834,998.11/346,157.66
  6. Step 6: Final answer
    x = 277,257.58

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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.