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Finding the Fourth Proportional to 520,169, 780,253.50 and 146,192

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Solution

The fourth proportional to 520,169, 780,253.50 and 146,192 is: 219,288

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,169 : 780,253.50 = 146,192 : x
  2. Step 2: Convert to fraction form
    520,169/780,253.50 = 146,192/x
  3. Step 3: Cross multiply
    520,169x = 780,253.50 × 146,192
  4. Step 4: Simplify right side
    520,169x = 114,066,819,672
  5. Step 5: Solve for x
    x = 114,066,819,672/520,169
  6. Step 6: Final answer
    x = 219,288

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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.