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Finding the Fourth Proportional to 346,410.84, 478,094.49 and 203,217.03

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Solution

The fourth proportional to 346,410.84, 478,094.49 and 203,217.03 is: 280,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,410.84 : 478,094.49 = 203,217.03 : x
  2. Step 2: Convert to fraction form
    346,410.84/478,094.49 = 203,217.03/x
  3. Step 3: Cross multiply
    346,410.84x = 478,094.49 × 203,217.03
  4. Step 4: Simplify right side
    346,410.84x = 97,156,942,317.16
  5. Step 5: Solve for x
    x = 97,156,942,317.16/346,410.84
  6. Step 6: Final answer
    x = 280,467.38

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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.