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Finding the Fourth Proportional to 346,546.70, 519,820.05 and 311,117.30

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Solution

The fourth proportional to 346,546.70, 519,820.05 and 311,117.30 is: 466,675.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,546.70 : 519,820.05 = 311,117.30 : x
  2. Step 2: Convert to fraction form
    346,546.70/519,820.05 = 311,117.30/x
  3. Step 3: Cross multiply
    346,546.70x = 519,820.05 × 311,117.30
  4. Step 4: Simplify right side
    346,546.70x = 161,725,010,441.87
  5. Step 5: Solve for x
    x = 161,725,010,441.87/346,546.70
  6. Step 6: Final answer
    x = 466,675.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.