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Finding the Fourth Proportional to 346,537.84, 478,224.48 and 203,301.04

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Solution

The fourth proportional to 346,537.84, 478,224.48 and 203,301.04 is: 280,556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,537.84 : 478,224.48 = 203,301.04 : x
  2. Step 2: Convert to fraction form
    346,537.84/478,224.48 = 203,301.04/x
  3. Step 3: Cross multiply
    346,537.84x = 478,224.48 × 203,301.04
  4. Step 4: Simplify right side
    346,537.84x = 97,223,534,137.46
  5. Step 5: Solve for x
    x = 97,223,534,137.46/346,537.84
  6. Step 6: Final answer
    x = 280,556.76

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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.