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Finding the Fourth Proportional to 346,163.52, 477,749.52 and 200,938.32

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Solution

The fourth proportional to 346,163.52, 477,749.52 and 200,938.32 is: 277,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,163.52 : 477,749.52 = 200,938.32 : x
  2. Step 2: Convert to fraction form
    346,163.52/477,749.52 = 200,938.32/x
  3. Step 3: Cross multiply
    346,163.52x = 477,749.52 × 200,938.32
  4. Step 4: Simplify right side
    346,163.52x = 95,998,185,929.61
  5. Step 5: Solve for x
    x = 95,998,185,929.61/346,163.52
  6. Step 6: Final answer
    x = 277,320.34

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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.