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Finding the Fourth Proportional to 346,212.80, 519,319.20 and 188,748.80

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Solution

The fourth proportional to 346,212.80, 519,319.20 and 188,748.80 is: 283,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,212.80 : 519,319.20 = 188,748.80 : x
  2. Step 2: Convert to fraction form
    346,212.80/519,319.20 = 188,748.80/x
  3. Step 3: Cross multiply
    346,212.80x = 519,319.20 × 188,748.80
  4. Step 4: Simplify right side
    346,212.80x = 98,020,875,816.96
  5. Step 5: Solve for x
    x = 98,020,875,816.96/346,212.80
  6. Step 6: Final answer
    x = 283,123.20

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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.